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Algebraic Topology:     more books (100)

Linear Algebraic Groups (Progress in Mathematics) by T.A. Springer, 1998-10-26 Algebraic and Differential Topology (Classics of Soviet Mathematics) by R. V. Gamkrelidze, 1987-03-06 Elements of Combinatorial And Differential Topology (Graduate Studies in Mathematics, V. 74) (Graduate Studies in Mathematics) by V. V. Prasolov, 2006-07-01 Elementary Topology: A Combinatorial and Algebraic Approach by D. Blackett, 1982-09 High-dimensional Knot Theory: Algebraic Surgery in Codimension 2 (Springer Monographs in Mathematics) by Andrew Ranicki, 1998-09-18 Sheaves in Topology (Universitext) by Alexandru Dimca, 2004-04-28 Topology I: General Survey (Encyclopaedia of Mathematical Sciences) Topology: Point-Set and Geometric (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts) by Paul L. Shick, 2007-02-09 Symposium on Algebraic Topology (Lecture notes in mathematics, 249) Algebraic Topology, Poznan 1989: Proceedings of a Conference Held in Poznan, Poland, June 22-27, 1989 (Lecture Notes in Mathematics) by S. Jackowski, B. Oliver, 1991-07 Lefschetz Centennial Conference, Part 2: Proceedings on Algebraic Topology (Contemporary Mathematics) Introduction to Topology and Modern Analysis by George F. Simmons, 1982-06 Cellular Structures in Topology (Cambridge Studies in Advanced Mathematics) by Rudolf Fritsch, Renzo Piccinini, 1990-09-28 Algebraic Homotopy (Cambridge Studies in Advanced Mathematics) by Hans Joachim Baues, 1989-03-31

lists with details

81. Algebraic Topology I
    This is an introduction to algebraic topology. I will basically follow Allen Hatcher s algebraic topology. This book is available online, as well.  
    http://www.math.columbia.edu/~petero/Topology.html

82. Science Search > Algebraic Topology
    algebraic topology by Solomon Lefschetz Published by the AMS, available for free download as PDF Applications of algebraic topology to computer science.  
    http://www.science-search.org/index/Math/Topology/Algebraic_Topology/

83. Readings In Algebraic Topology
    Syllabus, Reading Course in algebraic topology. algebraic topology, by Edwin H. Spanier, Corrected reprint, SpringerVerlag, 1981. Math Review.  
    http://www.math.neu.edu/~suciu/g722/readalgtop.sp05.html
    
    Extractions: Introduction to Homotopy Theory Wednesdays 1 PM2:30 PM, in 544 NI This course is meant as an introduction to classical Homotopy Theory, and some of its applications. Here are some of the topics we may cover: Higher homotopy groups, cofibrations, fibrations, fiber bundles, homotopy sequences, homotopy groups of Lie groups and associated manifolds, cellular approximation, Hurewicz theorem, Whitehead theorem, Eilenberg-MacLane spaces, obstruction theory, Postnikov towers, cohomology of fiber bundles, characteristic classes, spectral sequences, Steenrod sqaures. And here are some useful textbooks (including some olden goldies): Algebraic Topology , by Allen Hatcher , Cambridge University Press, 2002. Math Review Topology and Geometry , by Glen Bredon, GTM No. 139, Springer-Verlag, 1997. Math Review Elements of Homotopy Theory , by George W. Whitehead, GTM No. 61, Springer-Verlag, 1979. Math Review Characteristic Classes , by John W. Milnor

84. Powell's Books - Graduate Texts In Mathematics #56: Algebraic Topology: An Intro
    a textbook for a first course in algebraic topology and as a book for selfstudy. The spirit of algebraic topology and of good mathematics is present at  
    http://www.powells.com/biblio?isbn=0387902716

85. Powell's Books - Graduate Texts In Mathematics #0153: Algebraic Topology: A Firs
    This book introduces the important ideas of algebraic topology emphasizing the relation of these ideas with other areas of mathematics.  
    http://www.powells.com/biblio?isbn=0387943277

86. CONTEMPORARY TRENDS IN ALGEBRAIC GEOMETRY AND ALGEBRAIC TOPOLOGY
    CONTEMPORARY TRENDS IN ALGEBRAIC GEOMETRY AND algebraic topology.  
    http://www.worldscibooks.com/mathematics/4966.html
    
    Extractions: The Chern Visiting Professorship, begun in 1996, honors the Berkeley professor emeritus widely regarded as the greatest geometer of his generation. "Chern's belief in young people and his encouragement of them had a lot to do with the spectacular growth of geometry in the second half of this century" mathematician Blaine Lawson has said. "It is not easy to find a geometer who was not for some period of time either a student or a post-doctoral fellow in the orbit of Chern. (http://math.berkeley.edu/)

87. MathGuide: Algebraic Topology
    Subject Class, algebraic topology; Category theory, homological algebra Subject Class, General topology; algebraic topology; Field theory and  
    http://www.mathguide.de/cgi-bin/ssgfi/anzeige.pl?db=math&sc=55

88. Algebraic Topology
    Math reference, an introduction to algebraic topology.  
    http://www.mathreference.com/at,intro.html
    
    Extractions: Use the arrows at the bottom to step through Algebraic Topology. Introduction As the name suggests, algebraic topology is a marriage of algebra and topology. These branches of mathematics seem unrelated, yet they can be connected in several ways. For instance, a topological space s might be assigned a group g, based on the propertyies of s, in such a way that any space homeomorphic to s will be given the same group g. Therefore, two spaces that exhibit different groups cannot be homeomorphic. Proving a negative is always difficult; this is often the only way we can prove two spaces are different from each other. Consider a simple example, the line and the plane. These spaces seem different enough, yet they have the same cardinality. There are invertable functions that map the plane onto the line and back again. Perhaps one of these functions preserves open sets. Perhaps one dimension is really the same as two, when viewed from the right perspective. This isn't true of course; the plane is different from the line. But we need algebraic topology to prove it. The groups associated with these spaces (actually their compactifications) are different, and that closes the case.

89. 1.3.3 Algebraic Topology -- Prof Tillmann -- 16 HT
    1.3.3 algebraic topology Prof Tillmann 16 HT.  
    http://www.maths.ox.ac.uk/current-students/undergraduates/handbooks-synopses/200
    
    Extractions: Subsections Prerequisites : a4 Topology (b3 and a3 an advantage). When one studies topological spaces one is often interested in properties of the space that are left unchanged under deformation, called homotopy. One such example is given by the deformation theorem for contour integrals of a holomorphic function. The main idea in algebraic topology is to associate algebraic objects such as groups and rings to a space, which reflect its geometry up to these deformations. This allows algebraic topologists to prove statements such as ``one cannot comb a ball". While problems like this have been important for the development of the subject and illustrate its power, the ideas and techniques of homological algebra have by now entered into nearly every branch of mathematics. The algebraic invariant underlying the deformation theorem is the fundamental group, and this will be studied first. The second part of the course will introduce homology groups which will catch higher dimensional properties of the space. Tools like the Mayer-Vietoris sequence will help to compute the homology groups of a large number of spaces. 1.3.3.2 Synopsis

90. B14 Algebraic Topology - Lecture Notes And Problem Sheets - Undergraduate Studen
    B14 Section c algebraic topology Hilary 2005. Course Synopsis; Problem sheets. Sheet 1 (PDF); Sheet 2 (PDF); Sheet 3 (PDF); Sheet 4 (PDF); Sheet 5 (PDF)  
    http://www.maths.ox.ac.uk/current-students/undergraduates/lecture-material/c/alg

91. PMH1 Algebraic Topology
    The algebraic topology lecture notes are available online in pdf format, in two parts, Part I (Outline, Homology, the bare bones of categories 40 pages;  
    http://www.maths.usyd.edu.au/u/UG/HM/PMH1/
    
    Extractions: Honours Teaching program Honours USyd Home MyUni ... Research domMenu_activate('ResearchSubmenu'); Undergraduate Teaching Special Consideration Junior domMenu_activate('JuniorSubmenu'); Intermediate domMenu_activate('InterSubmenu'); Senior domMenu_activate('SeniorSubmenu'); Honours Coordinators Handbooks Courses ... quizzes domMenu_activate('QuizSubmenu'); Bridging Courses Summer School Postgraduate Timetables ... School Search General Information This page relates to the Pure Mathematics Honours course Algebraic Topology. For general information on honours in the School of Mathematics and Statistics, refer to the relevant honours handbook The Algebraic Topology lecture notes are available online in pdf format, in two parts, Part I (Outline, Homology, the bare bones of categories - 40 pages; revised 21 May 2004) and Part II (Fundamental group and Combinatorial Group Theory - 31 pages). The exercises are interspersed among the text (numbered separately in each part). The assignments shall be announced in class.

92. A User's Guide To Algebraic Topology
    9. Applications. A Algebra. B Topology. C Manifolds and Bundles. E Computational algebraic topology. Bibliography. Index. Known errata  
    http://www.ma.umist.ac.uk/kd/augtat.html
    
    Extractions: This book arose from courses taught by the authors, and is designed for both instructional and reference use during and after a first course in algebraic topology. It is a handbook for users who want to calculate, but whose main interests are in applications using the current literature, rather than in developing the theory. Typical areas of applications are differential geometry and theoretical physics. We start gently, with numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory that are needed in later chapters. We show how to calculate homotopy groups, homology groups and cohomology rings of most of the major theories, exact homotopy sequences of fibrations, some important spectral sequences, and all the obstructions that we can compute from these. Our approach is to mix illustrative examples with those proofs that actually develop transferable calculational aids. We give extensive appendices with notes on background material, extensive tables of data, and a thorough index.

93. Unit Description: Algebraic Topology
    These pages provide information about the School of Mathematics, University of Bristol.  
    http://www.maths.bris.ac.uk/undergrad/unitinfo/current/l4_units/alg_top.html
    
    Extractions: Texts and Syllabus Unit number and title: MATH M1200 Algebraic topology Level: Credit point value: 20 credit points Year: First given in this form: Lecturer/organiser: Dr. J. Chuang Teaching block: Timetable: Monday 9.00, Wednesday 9.00, Friday 9.00 Prerequisites: Level 2 Analysis Level 3 Group Theory Examined in: May-June The aim of the unit is to give an introduction to algebraic topology with an emphasis on homotopy and simplicial complexes and a brief introduction to homology. We begin by discussing relevant topics in general topology. These include compactness, path-connected spaces, Hausdorff spaces, convex spaces and the compact-Hausdorff lemma. We define homotopy between continuous functions, contractibility, homotopic spaces. We calculate the fundamental group of the circle and use this to prove the Fundamental Theorem of Algebra. We introduce simplicial complexes in order to provide a more general method for calculating the fundamental group. In order to prove this method works we need the Simplicial Approximation Theorem. We introduce homology and again use the simplicial approximation theorem to show how to calculate this for simplicial complexes. In the section on homology, the geometric methods are in the main sketched whilst the algebraic results have rigorous proofs.

94. Algebraic Topology At Fukuoka
    algebraic topology at Fukuoka Hopf Topology Archive Mathematics Information Servers Math Servers Around The World City of Fukuoka  
    http://www.sm.fukuoka-u.ac.jp/~topology/index-e.html

95. Math 445 Algebraic Topology, Spring 2005
    Textbook algebraic topology, written by Allen Hatcher JW Vick, Homology theory an introduction to algebraic topology, SpringerVerlag, 1994.  
    http://math.rice.edu/~tkim/math445/

96. Middle East Technical University   Areas Of Interest   Algebraic Topology
    Middle East Technical University Areas of Interest. algebraic topology. Faculty Members and Units interested in algebraic topology  
    http://ia.metu.edu.tr/kw/en/ia_algebraictopology.htm

97. Algebraic Topology: New & Used Books Category Search Result For Algebraic Topolo
    algebraic topology New Used Books Category Search Result for algebraic topology. Compare new and used books prices among 122 book stores in a click.  
    http://www.fetchbook.info/fwd_topics/id_1572485.html

98. Algebraic Topology: New & Used Books Search Result For Algebraic Topology
    algebraic topology New Used Books Search Result for algebraic topology. Compare new and used books prices among 122 book stores in a click.  
    http://www.fetchbook.info/Algebraic_Topology.html

99. Introduction To Math Cinvestav
    What is algebraic topology? THE BEGINNINGS OF algebraic topology. algebraic topology is a twentieth century field of mathematics that can trace its origins  
    http://www.math.cinvestav.mx/Topology.htm
    
    Extractions: The winding number of a curve illustrates two important principles of algebraic topology. First, it assigns to a geometric odject, the closed curve, a discrete invariant, the winding number which is an integer. Second, when we deform the geometric object, the winding number does not change, hence, it is called an invariant of deformation or, synomynously, an invariant of homotopy. The concept of continuous deformation can be illustrated by the following examples. Consider a coffee cup (with a handle) and a donut. If they are both made of some pliable substance like modeling clay, they can be deformed continuously (without ripping them apart into pieces) one into the other. This means that they have the same homotopy and homology groups, that is, the homotopy groups and the homology groups are invariant. On the other hand, a donut cannot be continuously deformed into a sphere. This means that their homotopy and homology groups can be different and they are.

100. Session 2: Algebraic Geometry, Algebraic Topology
     On Abranes with Real Dimension 5. Takao Akahori Department of Mathematics School of Science, University of Hyogo Himeji, Hyogo akahorit@sci.u-hyogo.ac.jp  
     http://www.ims.cuhk.edu.hk/conference/iccm2004/s2.html
     
     Extractions: akahorit@sci.u-hyogo.ac.jp Abstract : Let W be an open Kaehler manifold and let w W be its Kaehler form. Let M be a coisotropic submanifold of W with a line bundle and a connection. Kapustin-Orlov formulate when this coisotropic submanifold admits an A-brane (see [Kap-Or]). Let L be the characteristic foliation of M. And let F TM L Then, M admits an A-brane iff [1] The curvature of the connection, F , is an element of G (M, F [2] J: = w W F determines a "Tac" structure on M(this means that:J = -1 and this J is integrable modulo characteristic foliation ). The condition [2] reminds us of the hyperKaehler structure over a minimal resolution of the rational double point. Namely, let W be a minimal resolution of the rational double point, and let M = W(in this case, no characterstic foliation). Then, by Kronheimer's work(see [Kro]), there are integrable complex structures I,J,K, and associated Kaehler forms. And so, this minimal resolution adimts an A-brane. While, we assume that there is a 1-dimensional foliation and the dimension of F is a real 4-dimenional(a real hypersurface in a complex 3-dimensional manifold). Even though our CR structure is 2-dimensional, complex 2-dimensional analogue completely breaks down. However, it seems natural to try to obtain some analogue(some CR structures should admit A-branes). In this paper, we discuss the real hypersurface M in a complex 4-dimensional euclidaen space, defined by:

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