41. The Geometry Junkyard: Geometric Topology Crystallographic topology. C. Johnson and M. Burnett of Oak Ridge National Lab use topological methods to understand and classify the symmetries of the http://www.ics.uci.edu/~eppstein/junkyard/topo.html

Geometric Topology This area of mathematics is about the assignment of geometric structures to topological spaces, so that they "look like" geometric spaces. For instance, compact two dimensional surfaces can have a local geometry based on the sphere (the sphere itself, and the projective plane), based on the Euclidean plane (the torus and the Klein bottle), or based on the hyperbolic plane (all other surfaces). Similar questions in three dimensions have more complicated answers; Thurston showed that there are eight possible geometries, and conjectured that all 3-manifolds can be split into pieces having these geometries. Computer solution of these questions by programs like SnapPea has proved very useful in the study of knot theory and other topological problems. Acme Klein Bottle . A topologist's delight, handcrafted in glass. Are most manifolds hyperbolic? From Dave Rusin's known math pages. Bending a soccer ball mathematically . Michael Trott animates morphs between a torus and a double-covered sphere, to illustrate their topological equivalence, together with several related animations. Boy's surface: Wikipedia MathWorld Geometry Center , and an asymmetric animated gif from the Harvard zoo Constructing Boy's surface out of paper and tape.

42. Protein Topology Home Page www3.ebi.ac.uk/tops/ Similar pages topology Britannica Online EncyclopediaBritannica online encyclopedia article on topology branch of mathematics, sometimes referred to as rubber sheet geometry, in which two objects are http://www3.ebi.ac.uk/tops/

Protein Topology Home Page These pages have been prepared by: D.R. Westhead , D.C. Hatton, D. R. Gilbert J.M. Thornton and T.P.J. Flores Services available on this web site PLEASE NOTE THAT THIS WWW SITE WILL SHORTLY BE MOVED TO A NEW LOCATION AT THE UNIVERSITY OF LEEDS. A PRE-ALPHA VERSION OF THE NEW SITE IS AVAILABLE. This web site is devoted to protein structural topology and protein topology cartoons. The following services are available: Browse the Atlas of topology cartoons. Generate your own topology cartoons. Search databases for topological patterns. Topology-based structure comparison ... New developments on this web site This site is listed as a key resource by Links2Go. Links Go Key Resource Protein 3D Structure and Associated Topics Databases Topic Acknowledgements We are grateful to Dr. C. Sander of the EBI for allowing to use the program DSSP for secondary structure assignment. This was used in generation of the Atlas and is used every time a new structure is submitted to the server for topology cartoon calculation. Click here for details of DSSP.

43. JTS Topology Suite The JTS topology Suite is an API of 2D spatial predicates and functions. It has the following design goals. JTS conforms to the Simple Features http://www.vividsolutions.com/jts/jtshome.htm

44. Geometry And Topology Address Book This menu offers searchable Web and WAIS access to the list of email addresses in geometry and topology maintained by Andrew Nicas and others. http://www.math.ufl.edu/math/abook-menu.html

Geometry and Topology Address Book This page was last modified on May 07, 1997 Please report problems to cws@math.ufl.edu. Table of Contents Additions and corrections Search the address book WAIS remarks FTP and mail servers ... List maintainers Additions and Corrections We are trying out an enhancement which should simplify email submission of addresses and corrections to the list maintainers. If you don't receive email confirmation from one of us, please resend your message to one of the list maintainers in the usual way. You must have a Web browser that supports HTML forms in order to use the next item. If you do not see text editing areas below then your browser does not support forms. Enter your message in the areas provided below. Be sure to fill out all of the fields and please, please specify your preferred versions of your name and email address in the message body since return addresses can be hard to decipher. Your Name Your Email Address Text: Click to submit your message. Click to clear your message and start over.

45. Quantitative Metallography Of Deformed Grains MAP_STEEL_topology, PROGRAM topology of grain deformation, permitting calculation of grain surface and edge as a function of strain for a variety of http://www.msm.cam.ac.uk/phase-trans/2007/tetra/tetra.html

Quantitative Metallography of Deformed Grains Q. Zhu, C. M. Sellars. H. K. D. H. Bhadeshia Abstract The effect of plastic deformation on the grain boundary surface area per unit volume and edge length per unit volume is examined using two methods. First, by applying homogeneous deformations to tetrakaidecahedra in a variety of orientations, and then by using the principles of stereology. It is shown that the methods produce essentially identical results. It is now possible to calculate changes in the grain parameters as a function of a variety of deformations, for combinations of deformations, for complex deformations, and for cases where it is not necessary to assume an idealised grain microstructure. Materials Science and Technology Download PDF file of paper. Additional materials (zipped archive) Download related paper. Photograph courtesy of David Warrington, tetrakaidecahedron Podcasts A short audio interview of Harry Bhadeshia by Mathew Peet, on the content of the paper. Download MP3 format audio file Download WAV format audio file Computer Programs PROGRAM: Topology of grain deformation, permitting calculation of grain surface and edge as a function of strain for a variety of deformation modes.

46. Topology And Geometry topology and Geometry Software. has moved. Please update your bookmarks to. http//www.geometrygames.org. (Note The Software and Resources Page for The http://www.northnet.org/weeks/

Jeff Weeks' Topology and Geometry Software has moved. Please update your bookmarks to http://www.geometrygames.org (Note: The Software and Resources Page for The Shape of Space 2nd ed. has moved to http://www.geometrygames.org/SoS

47. Carfree Cities: City Topology A topology for carfree cities is developed and explained. http://www.carfree.com/topology.html

Six-lobe city design The Design Standards for carfree cities as established in the Introduction can be achieved in a city that offers an excellent quality of life. Considerable thought has been given to the arrangement of a city which best fulfills the design standards. The resulting Reference Design described below and on the Districts and Blocks pages is for a city of about one million people, but the design can be adapted to cities with populations between about 300,000 and 3,000,000. The Reference Topology was developed in great detail for Carfree Cities Design Attributes The following table sums up the most important design attributes of the reference design. Customary Units Metric Population Site Size 100 sq. mi. 250 sq.km Developed Area 20% of total site Green Area 80% of total site Districts District Population District Diameter 2500 ft. 760 m District Density FAR Longest Journey 35 minutes Automobile Traffic None The Attributes Explained Some of the design attributes require further explanation. 100 Districts About 100 districts would be constructed, each roughly 760 meters (2500 feet) in diameter, with streets radiating from the central transport halt. The districts are arranged in a six-leaf-clover pattern. Of the 100 districts, the 18 farthest from the city center are "utility areas." These non-residential areas are reserved for various infrastructure requirements, heavy industry, and parking.

48. [gr-qc/9605010] Cosmic Topology General relativity does not allow one to specify the topology of space, leaving the possibility that space is multi rather than simply- connected. http://arxiv.org/abs/gr-qc/9605010

arXiv.org gr-qc Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Help pages Full-text links: Download: PostScript PDF Other formats Citations SLAC-SPIRES HEP (refers to , cited by , arXiv reformatted) NASA ADS CiteBase p revious ... ext General Relativity and Quantum Cosmology Title: Cosmic Topology Authors: M. Lachieze-Rey J.P.Luminet (Submitted on 6 May 1996 (v1), last revised 9 Jan 2003 (this version, v2)) Abstract: Comments: 159 pages, LaTeX format, 32 figures available on request; v2 : all postscript figures added Subjects: General Relativity and Quantum Cosmology (gr-qc) ; Astrophysics (astro-ph) Journal reference: Phys.Rept. 254 (1995) 135-214 Cite as: arXiv:gr-qc/9605010v2 Submission history From: [ view email Mon, 6 May 1996 09:55:41 GMT ( not stored Thu, 9 Jan 2003 16:32:59 GMT (300kb) Which authors of this paper are endorsers? Link back to: arXiv form interface contact

49. Matthew G. Brin Home Page Course notes by Matthew G. Brin in PostScript including Introduction to Differential topology , Introduction to Seifert fibered 3manifolds , http://www.math.binghamton.edu/matt/

Matthew G. Brin Professor Ph.D., 1977, University of Wisconsin-Madison At Binghamton since 1978 Areas of interest: Geometric topology, Combinatorial group theory Summary of research interests Math Reviews list of published papers . (Institutional subscription to MathSciNet is needed for viewing.) E-mail: matt@math.binghamton.edu Phone: Fax: Office: LN 2244 Office hours: MWF Courses: Spring 2008 Math 221 Section 05: Calculus I MWF R AA-G21 Ph. D. Students: Olga Salazar-Diaz, Spring, 2006 Thesis: Thompson's Group V From A Dynamical Viewpoint Collin Bleak, Summer, 2005 Thesis: Solvability in Groups of Piecewise Linear Homeomorphisms of the Unit Interval John Donnelly, Summer, 2003 Thesis: Properties of Richard Thompson's group F related to amenability Course information for Math 375, Complex Variables Publication list BibTeX entries for my publications as supplied by the AMS. ArXiv postings I have made. I am not very organized about posting to the ArXiv or keeping the versions there up to date. Vita Me , in what used to be a common pose. A (very short) list of preprints that can be downloaded.

50. Network Topology Icons - Cisco Systems Network topology Icons Cisco icons are globally recognized and accepted as the standard in network icon topologies. Use them freely without alteration. http://www.cisco.com/warp/public/503/2.html

51. 2001 Georgia International Topology Conference The 2007 Georgia topology Conference will be held in Athens,Georgia, on May 1418, 2007. The conference is hosted by the University of Georgia and sponsored http://www.math.uga.edu/~topology/

Georgia Topology Conferences: 2008 Georgia Topology Conference: There are two upcoming Georgia Topology Conferences. The first is this summer, from May 14-18, 2008. This is our annual summer topology conferences, and this year we'll invite recent Ph.D.'s in topology from around the country. 2009 Georgia Topology Conference: We are in initial planning stages for the 2009 Georgia Topology Conference. This is a much larger version of our annual conference, and we have been running this conference every 8 years starting in 1961.

52. Topology Without Tears bnsp topology Without Tears by Sidney A. Morris, in pdf format. My topology material is copyrighted. IF you wish a printed copy for your own private use, http://uob-community.ballarat.edu.au/~smorris/topology.htm

"Topology Without Tears" by Sidney A. Morris, in pdf format IF you wish a printed copy for your own private use, then I can provide the printable pdf files free of charge. But I must have your agreement that you will not give anyone the password or provide anyone with the electronic or printed version without my prior approval and I need your full name and address. Once I have your commitment, name and address I will send you the password for the printable pdf files below. You can contact me at s.morris@ballarat.edu.au Sidney A. Morris "Topology Without Tears" by Sidney A. Morris, printable version with password in pdf format

53. MIT Topology Seminar The topology of moduli spaces of flat connections on Riemann surfaces (revisited). Babytop time and space (Tuesday, 400, room 2135) Let G be a connected, http://www-math.mit.edu/topology/

Massachusetts Institute of Technology Department of Mathematics Seminars and colloquia Topology Seminar Upcoming talks The seminar will meet at 4:30pm in unless otherwise noted. Andrew Blumberg Stanford University K-theory and abstract homotopy theory Algebraic K-theory of a ring encodes the "higher homotopy theory" of the derived category. I will discuss recent work with Mandell which makes this slogan precise by giving an explicit description of the K-theory space of a Waldhausen category in terms of the Dwyer-Kan simplicial localization of the category. This allows us to prove a very general criterion for functors to induce an equivalence of K-theory, and also has applications in the study of the K-theory of nonconnective ring spectra. Denis-Charles Cisinski Presidents Day TBA Greg Arone University of Virginia TBA TBA MIT Spring Break Elke Markert Paolo Salvatore University of Rome Tor Vergata ... Yale University Past seminars Michael Ching Johns Hopkins University Chain rules for Goodwillie calculus I'll explain work (joint with Greg Arone) to understand chain rules for Goodwillie's homotopy calculus. In order to express these chain rules, we produce nice models for the derivatives of various functors that have extra algebraic structure. In particular, we get a deeper understanding of where the operad structure on the derivatives of the identity comes from. These models should work in a much wider context than functors of topological spaces, and if there's time and interest, I'll mention some applications of these ideas to the algebraic K-theory of A

54. The Geometry And Topology Of Three-Manifolds By William P. Thurston Thurston s ThreeDimensional Geometry and topology, Volume 1 (Princeton University Press, 1997) is a considerable expansion of the first few chapters of http://www.msri.org/publications/books/gt3m

The Geometry and Topology of Three-Manifolds by William P. Thurston Electronic version 1.1 - March 2002 - with an index! http://www.msri.org/publications/books/gt3m/ This is an electronic edition of the 1980 lecture notes distributed by Princeton University. The text was typed in TeX by Sheila Newbery, who also scanned the figures. Typos have been corrected (and probably others introduced), but otherwise no attempt has been made to update the contents. Genevieve Walsh compiled the index. Numbers on the right margin correspond to the original edition's page numbers. Thurston's Three-Dimensional Geometry and Topology , Volume 1 ( Princeton University Press , 1997) is a considerable expansion of the first few chapters of these notes. Later chapters have not yet appeared in book form. Please help improve this document by sending to Silvio Levy at levy@msri.org any useful information such as reports of typos, omissions, and departures from the printed notes that are not purely stylistic references for results attributed without citation references to solutions of then-open problems HERE IS THE STUFF I've broken it down into chapter or portions about 20 pages long. Note: Chapters 10 and 12 don't exist.

55. Topology So please check with your classmates and try a few reasonable alternatives if you find something that doesn t compute ;) See my topology reading course http://www9.georgetown.edu/faculty/kainen/topology.html

An Introduction to Topology The following notes are to accompany the review sessions being presented as an addendum to my neural networks course. Misprints are guaranteed! So please check with your classmates and try a few reasonable alternatives if you find something that doesn't compute ;-) See my topology reading course page for information on a course on this topic. 0 and X both belong to t; if V_1 and V_2 are in t, then V_1 I V_2 is in t; A subset A of X is called connected (wrt t) if t_A is connected. Congratulations. You've just proved that a continuous function fromm R to R maps a closed interval onto a closed interval, which gives both the extreme and intermediate value theorems from calculus. Back to the classroom page or neural page . Jan. 16, 2001; pck

56. TTT On WWW The Transpennine topology Triangle is a topology seminar partially supported by the London Mathematical Society with vertices at Leicester, Manchester and http://www.greenlees.staff.shef.ac.uk/ttt/ttt.html

Transpennine Topology Triangle Homepage The Transpennine Topology Triangle is a topology seminar partially supported by the London Mathematical Society with vertices at Leicester, Manchester and Sheffield. Next vertex: TTT63: Leicester, Friday 18 January. Speakers include Jon Pridham (Cambridge), Paul Mitchener (Sheffield), Gustavo Granja (Lisbon). Organizers John Greenlees (Sheffield) John Hunton (Leicester) Nige Ray (Manchester) TTT members' homepages Francis Clarke's Homepage Peter Eccles's Homepage John Greenlees's Homepage John Hunton's Homepage ... Reg Wood's Homepage Preprints John Greenlees's preprints Neil Strickland's preprints Mailing List If you need the mailing list, please apply to one of the organizers. Notes of talks Notes are available for talks from TTT38 (Clarke, Wood) and TTT40 (Wuethrich) Past events TTT1: Inaugural meeting and Adams Lectures Manchester (June 12-14 1995) TTT2: First Sheffield meeting Sheffield (2nd October 1995) TTT3: First Leicester meeting Leicester (27th November 1995) Manchester (12th February 1996) Sheffield (3-4 June 1996) Sheffield Strickland Sandwich meeting Manchester (11th November 1996) ... Leicester (18th January 2008) Participants Leicester (John Hunton) (Alex Clark) (Marcello Felisatti) (Andrey Lazarev) (Claire Irving) (Le Minh Ha) (Robert Marsh) (Frank Neumann) (Dietrich Notbohm) (Nicole Snashall) Manchester (Victor Buchstaber) (David Carter) (Adrian Dobson) (Goran Dubajic) (Peter Eccles) (Mark Grant) (Luisa Magelhaes) (Taras Panov) (Mike Prest)

57. Visualizing The Global Topology Of The MBone We present a case study of visualizing the global topology of the Internet MBone. The MBone is the Internet s multicast backbone. http://graphics.stanford.edu/papers/mbone/

[an error occurred while processing this directive] Visualizing the Global Topology of the MBone Tamara Munzner and Eric Hoffman and K. Claffy and Bill Fenner Proceedings of the 1996 IEEE Symposium on Information Visualization , pp. 85-92, October 28-29 1996, San Francisco, CA, 1996. Abstract We present a case study of visualizing the global topology of the Internet MBone. The MBone is the Internet's multicast backbone. Multicast is the most efficient way of distributing data from one sender to multiple receivers with minimal packet duplication. Developed and initially deployed by researchers within the Internet community, the MBone has been extremely popular for efficient transmission across the Internet of real-time video and audio streams such as conferences, meetings, congressional sessions, and NASA shuttle launches. The MBone, like the Internet itself, grew exponentially with no central authority. The resulting suboptimal topology is of growing concern to network providers and the multicast research community. We create a geographic representation of the tunnel structure as arcs on a globe by resolving the latitude and longitude of MBone routers. The interactive 3D maps permit an immediate understanding of the global structure unavailable from the data in its original form as lines of text with only hostnames and IP addresses. Data visualization techniques such as grouping and thresholding allow further analysis of specific aspects of the MBone topology. We distribute the interactive 3D maps through the World-Wide Web using the VRML file format, thus allowing network maintainers throughout the world to analyze the structure more effectively than would be possible with still pictures or pre-made videos.

58. SUMTOPO - The Summer Conference In Topology & Applications An annual event bringing together an international audience of researchers in general topology and related fields. Details of past and future meetings. http://sumtopo.home.att.net/

59. IRA: 5. Topology Next we need to establish some relationship between topology and our previous studies, in particular sequences of real numbers. We shall need the following http://web01.shu.edu/projects/reals/topo/index.html

60. Topology - Definition From The Merriam-Webster Online Dictionary Definition of topology from the MerriamWebster Online Dictionary with audio pronunciations, thesaurus, Word of the Day, and word games. http://www.m-w.com/dictionary/topology

Home Visit Our Sites Unabridged Dictionary Learner's Dictionary ... Contact Us Also Visit: Unabridged Encyclopedia Britannica Visual ESL: Learner's for Kids: Spell It! Word Central Dictionary Thesaurus Spanish/English Medical Search "topology" in: Thesaurus Spanish/English Medical Dictionary Open Dictionary Browse words next to: topology Browse the Dictionary: A B C D ... Z topology 3 entries found. topology top- point set topology Main Entry: Pronunciation: Function: noun Inflected Form(s): plural Etymology: International Scientific Vocabulary Date:  topographic study of a particular place specifically  the history of a region as indicated by its topography 2 a  a branch of mathematics concerned with those properties of geometric configurations (as point sets) which are unaltered by elastic deformations (as a stretching or a twisting) that are homeomorphisms  the set of all open subsets of a topological space b configuration topology topology noun Learn more about "topology" and related topics at Britannica.com See a map of "topology" in the Visual Thesaurus Pronunciation Symbols Products Premium Services ... Advertising Info

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