Geometry.Net - Pure_And_Applied_Math: Category Theory

Cape Town - Topology And Categories
TOPOLOGY AND category theory. Introduction Members Activities Output Links Contact us 19th Summer Conference on Topology and its Applications
http://academic.sun.ac.za/maths/cattop/
Applications Of Category Theory To Computer Science
Mount Allison University, Sackville, NB, Canada; 812 June 1998.
http://www.mta.ca/~cat-dist/ctss98/

Extractions: Sackville, NB, Canada In conjunction with the Category Theory Session at the Canadian Mathematical Society's Summer 1998 Meeting, see camel.math.ca/CMS/Events/summer98/ , there will be a workshop on the Applications of Category Theory to Computer Science, directed towards graduate students and young researchers. The arrival day Sunday, June 7, 1998 - residence accommodation will be available from June 6. The invited instructors are M. Barr (McGill) and R.F.C. Walters (Sydney). Residence accommodation will be available at Mount Allison University at a cost of
Category Theory For Computer Science
motivation for studying category theory as computer scientists Goguen, Sect . Handbook of Categorical Algebra 1 Basic category theory.
http://www.daimi.au.dk/~nygaard/CTfCS/
OctoberFest 99: Centre De Recherche En Théorie Des Catégories -- Montréal
McGill University, Montreal, Canada; 1617 October 1999.
http://www.math.mcgill.ca/triples/octoberfest99.html

Extractions: Saturday - Sunday, October 16 - 17, 1999 The meeting is now over, but for information purposes, this page will remain in place for a while. Email addresses for the speakers may be found on the list of talks . "Provisional" schedules etc are now final. We invite you to join us in Montreal next October for a weekend meeting in Category Theory, the "not-quite-annual" OctoberFest. As has been the tradition with these meetings, we invite talks from all participants. If you wish to give a talk, send your request along with a short abstract (before the end of September please) to Robert Seely at the address below. The final schedule of talks will be handed out at the meeting, but a provisional schedule is available, as well as a provisional list of speakers , in the meantime. ( Also ABSTRACTS of selected talks.) We will meet in the Bronfman Building, 1001 Sherbrooke West, on Saturday morning, October 16th. Coffee will be available from 8:30 am. The first talk will be at 9:00. Registration will take place during the morning, before the first talk and during the first coffee break. Lectures will be in room BRON 151. There will be a registration fee of $CAN40 ($US30), $CAN20 ($US15) for students. There will be a dinner/party to be held Saturday evening, hosted by Marta Bunge. (Instructions for getting to the Bunge home will be announced at the meeting.) Please let us know if you intend to join us by sending a short email (before the end of September if possible) to
CatMAT 2000
Categorical Methods in Algebra and Topology Commemorating 25 years of category theory in Bremen. University of Bremen, Germany; 2125 August 2000.
http://katmat.math.uni-bremen.de/catmat2000/
Category Theory And Aldor
category theory in Aldor. The idea is to begin a library of Aldor categories anddomains organized around category theory in the mathematical sense.
http://physics.bu.edu/~youssef/aldor/aldor.html

Extractions: The idea is to begin a library of Aldor categories and domains organized around category theory in the mathematical sense. In more detail, the goals are to a) find working design patterns for categories, functors, natural transformations, adjoints within Aldor b) encode known facts about category theory (the adjoint functor theorem, for example) into the system c) produce a library implementing the most basic and useful categories. Here's a recent talk and the draft of a paper Saul Youssef
Category Theory@Everything2.com
In category theory, the primitive notions are nodes and arrows. The otherimportant concept in category theory is the functor, which see.
http://www.everything2.com/index.pl?node_id=661313
CTCS99
8th conference on category theory and Computer Science. Edinburgh, Scotland, UK; 1012 September 1999.
http://www.dcs.ed.ac.uk/home/ctcs99/

Extractions: This page is provided for historical interest. For a list of recent and forth coming conferences hosted at Informatics in Edinburgh, see the page www.inf.ed.ac.uk/events/conferences/ CTCS '99 is the 8th conference on Category Theory and Computer Science . The purpose of the conference series is the advancement of the foundations of computing using the tools of category theory. While the emphasis is upon applications of category theory, it is recognized that the area is highly interdisciplinary. Previous meetings have been held in Guildford (Surrey), Edinburgh, Manchester, Paris, Amsterdam, Cambridge, and S. Margherita Ligure (Genova). Conference proceedings will appear in Electronic Notes in Theoretical Computer Science . Paper copies of the proceedings will be available to participants at the conference. Invited speakers:
Godel And Category Theory (from Mathematics, Foundations Of) -- Encyclopædia Br
Godel and category theory (from mathematics, foundations of) It is now possibleto reexamine Gödel s theorems from a categorical point of view.
http://www.britannica.com/eb/article?tocId=35469
Category Theory (from Algebra) -- Encyclopædia Britannica
category theory (from algebra) The second attempt to formalize the notion ofstructure developed within category theory. The first paper on the subject was
http://www.britannica.com/eb/article-231096

Extractions: Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Expand all Collapse all Introduction Emergence of formal equations ... Problem solving in Egypt and Babylon Greece and the limits of geometric expression The Pythagoreans and Euclid Diophantus The equation in India and China Islamic contributions ... Number theory Fundamental concepts of modern algebra Prime factorization Fields Ideals Systems of equations ... Bourbaki changeTocNode('toc231094','img231094'); Category theory New challenges and perspectives Additional Reading General history Ancient and Greek algebra Indian and Chinese algebra Islamic algebra ... Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%!
Theory And Applications Of Categories
An electronic journal of category theory. Full text, free.
http://www.tac.mta.ca/tac/
Science Search > Category Theory
Section of the eprint arXiv dealing with category theory, including such topics as A brief description of category theory, and some useful links.
http://www.science-search.org/index/Math/Algebra/Category_Theory/
18-XX
18XX category theory, homological algebra 18Axx General theory of categoriesand functors; 18Bxx Special categories; 18Cxx Categories and algebraic
http://www.ams.org/mathweb/msc1991/18-XX.html
Basic Category Theory For Computer Scientists - The MIT Press
i Basic category theory for Computer Scientists /i provides a straightforwardpresentation of the basic constructions and terminology of category theory,
http://mitpress.mit.edu/catalog/item/default.asp?ttype=2&tid=7986
Centre Of Australian Category Theory, Macquarie University :: Publications
Publications at the Centre of Australian category theory Macquarie University.
http://www.ics.mq.edu.au/CoACT/publications/

Extractions: Staff Centre of Australian Category Theory Publications Centre of Australian Category Theory reports to the Council ~pdf Please note that the reports can be viewed using Acrobat Reader, which can be downloaded for free from Adobe Brian Day and Ross Street, Lax monoids, pseudo-operads, and convolution, in: "Diagrammatic Morphisms and Applications", Contemporary Mathematics (AMS; ISBN 0-8218-2794-4; April 2003) 75-96. Julien Bichon and Ross Street, Militaru's D-equation in monoidal categories, Applied Categorical Structures Ross Street, Functorial calculus in monoidal bicategories, Applied Categorical Structures Brian Day, Paddy McCrudden and Ross Street, Dualizations and antipodes, Applied Categorical Structures Ross Street, Weak omega-categories, in: "Diagrammatic Morphisms and Applications", Contemporary Mathematics (American Math. Soc.; ISBN 0-8218-2794-4; April 2003) 207-213.
Centre Of Australian Category Theory, Macquarie University
Centre of Australian category theory Macquarie University.
http://www.ics.mq.edu.au/CoACT/

Extractions: Staff Centre of Australian Category Theory The Centre of Australian Category Theory (CoACT) develops an algebra of widespread applicability for the synthesis and analysis of systems and processes in fields as diverse as physics and computer science, and also mathematics itself. Although having operated as a coherent group since the founding of the on-going Australian Category Seminar in 1971, CoACT was formally established in 1999. To provide the environment for the top international centre for Higher-dimensional Category Theory and a major international centre for general Category Theory. To pursue vigorously research into those parts of mathematics and computer science which find natural expression and advancement in terms of Category Theory and to train thehighest-quality research students. More information about CoACT can be found in the History Objectives Performance Indicators and Benchmarks and Constitution We welcome your enquiries about our work - please contact the Director Professor Ross Street
Courses: Barr / Wells
An introduction to category theory Categories, functors and natural transformations.Limits and colimits. Adjoint functors. Triples and Kleisli categories.
http://www.let.uu.nl/esslli/Courses/barr-wells.html

Extractions: Home Overview News Related Events Program Timetable Courses and Workshops Student Session Evening Lectures Registration Check In Registration Procedure Accommodation Registration Form Local Information Local Team Lecturers Social Program Order and Enlist ... Local Guide Sponsors Sponsors Industrial Programme C OURSE D ESCRIPTION An introduction to category theory: Categories, functors and natural transformations. Limits and colimits. Adjoint functors. Triples and Kleisli categories. Cartesian closed categories, toposes, and related categories. Categories with monoidal structure; *-autonomous categories. L ITERATURE Category Theory Lecture Notes for ESSLLI Postscript Document
Introduction To Category Theory
category theory is a mathematical approach to the study of algebraic structure that The aim of this course is to teach the basics of category theory,
http://www.cs.nott.ac.uk/~gmh/categories.html

Extractions: Category theory is a mathematical approach to the study of algebraic structure that has become an important tool in theoretical computing science, particularly for semantics-based research. The aim of this course is to teach the basics of category theory, in a way that is accessible and relevant to computer scientists. The emphasis is on gaining a good understanding the basic definitions, examples, and techniques, so that students are equipped for further study on their own of more advanced topics if required. The course comprises five 90-minute lectures, each with exercises Categories (what is category theory, why is it useful, why is it useful to computing, course topics, graphs, labelled graphs, categories, examples of categories); Functors (graph homomorphisms, labelled graph homomorphisms, functors, examples of functors, functors as arrows, functors with two arguments); Natural transformations (commuting diagrams, natural transformations, natural transformations as arrows, the Godement calculus);
CT2000
CT2000. International category theory Conference. Villa Olmo, Como, July 1622,2000. If you see this, it probably means that your browser does not handle
http://www.disi.unige.it/conferences/ct2000/

Extractions: International Category Theory Conference If you see this, it probably means that your browser does not handle frames. Follow the link to Detailed Information or that to the map of the site . Clicking buttons from there on may open pages in new windows, else remember to use your Back button to return to that page.
CRMâPublications
This book is a textbook in basic category theory, written specifically to be read The authors expound the constructions basic to category theory in the
http://www.crm.umontreal.ca/pub/Ventes/desc/PM023.html

Extractions: (Third Edition) 526 pages ISBN 2-921120-31-3 1999 This book is a textbook in basic category theory, written specifically to be read by researchers and students in computing science. The authors expound the constructions basic to category theory in the context of examples and applications to computing science. Some categorical ideas and constructions are already used heavily in computing sciences and many of these use are described. Other ideas, in particular the concept of adjoint have not appeared as widely in the computing science literature. The authors give an elementary exposition of those ideas they believe to be basic categorical tools, with pointers to possible application. Michael Barr is Peter Redpath Professor in the Department of Mathematics and Statistics at McGill University in Montreal, Quebec. Charles Wells is Professor of Mathematics at Case Western Reserve University in Cleveland, Ohio. This new edition contains all the material from the first and second editions, including the four chapters excised from the second edition and the solutions to all the exercises, as well as added material on factorization systems, monoidal categories, and other topics. All errors known to the authors have been corrected. To order: sales@CRM.UMontreal.CA

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