Author: G.M. KellyPublisher: Springer
ISBN: 3540372709
Category : Mathematics
Languages : en
Pages : 386
Book Description
Category Seminar
Author: G.M. KellyPublisher: Springer
ISBN: 3540372709
Category : Mathematics
Languages : en
Pages : 386
Book Description
Basic Category Theory
Author: Tom LeinsterPublisher: Cambridge University Press
ISBN: 1107044243
Category : Mathematics
Languages : en
Pages : 193
Book Description
A short introduction ideal for students learning category theory for the first time.
Reports of the Midwest Category Seminar IV
Author: H. ApplegatePublisher: Springer
ISBN: 3540362924
Category : Mathematics
Languages : en
Pages : 147
Book Description
Reports of the Midwest Category Seminar V
Author: J. W. GrayPublisher: Springer
ISBN: 3540365486
Category : Mathematics
Languages : en
Pages : 263
Book Description
Reports of the Midwest Category Seminar III
Author: S. MacLanePublisher: Springer
ISBN: 3540361502
Category : Mathematics
Languages : en
Pages : 255
Book Description
Towards Higher Categories
Author: John C. BaezPublisher: Springer Science & Business Media
ISBN: 1441915362
Category : Algebra
Languages : en
Pages : 292
Book Description
The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory. The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy n-types. These are areas that are particularly well understood, and where a fully integrated theory exists. The main focus of the book is on the richness to be found in the theory of bicategories, which gives the essential starting point towards the understanding of higher categorical structures. An article by Stephen Lack gives a thorough, but informal, guide to this theory. A paper by Larry Breen on the theory of gerbes shows how such categorical structures appear in differential geometry. This book is dedicated to Max Kelly, the founder of the Australian school of category theory, and an historical paper by Ross Street describes its development.
The Wealth of Networks
Author: Yochai BenklerPublisher: Yale University Press
ISBN: 9780300125771
Category : Business & Economics
Languages : en
Pages : 532
Book Description
Describes how patterns of information, knowledge, and cultural production are changing. The author shows that the way information and knowledge are made available can either limit or enlarge the ways people create and express themselves. He describes the range of legal and policy choices that confront.
Categories
Author: Horst SchubertPublisher: Springer Science & Business Media
ISBN: 3642653642
Category : Mathematics
Languages : en
Pages : 398
Book Description
Categorical methods of speaking and thinking are becoming more and more widespread in mathematics because they achieve a unifi cation of parts of different mathematical fields; frequently they bring simplifications and provide the impetus for new developments. The purpose of this book is to introduce the reader to the central part of category theory and to make the literature accessible to the reader who wishes to go farther. In preparing the English version, I have used the opportunity to revise and enlarge the text of the original German edition. Only the most elementary concepts from set theory and algebra are assumed as prerequisites. However, the reader is expected to be mathe to follow an abstract axiomatic approach. matically sophisticated enough The vastness of the material requires that the presentation be concise, and careful cooperation and some patience is necessary on the part of the reader. Definitions alway precede the examples that illuminate them, and it is assumed that the reader is familiar with some of the algebraic and topological examples (he should not let the other ones confuse him). It is also hoped that he will be able to explain the con cepts to himself and that he will recognize the motivation.
Exact Categories and Categories of Sheaves
Author: M. BarrPublisher: Springer
ISBN: 3540369996
Category : Mathematics
Languages : en
Pages : 251
Book Description
Victoria Symposium on Nonstandard Analysis
Author: A. HurdPublisher: Springer
ISBN: 3540379282
Category : Mathematics
Languages : en
Pages : 361
Book Description