Reports Of The Midwest Category Seminar 2 Lecture Notes In Mathematics
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Reports of the Midwest Category Seminar V
Author | : J. W. Gray |
Publisher | : Springer |
Total Pages | : 263 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540365486 |
Reports of the Midwest Category Seminar I
Author | : J Benabou |
Publisher | : Lecture Notes in Mathematics |
Total Pages | : 202 |
Release | : 1967 |
Genre | : Mathematics |
ISBN | : |
Reports of the Midwest Category Seminar IV
Author | : H. Applegate |
Publisher | : Springer |
Total Pages | : 147 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540362924 |
Reports of the Midwest Category Seminar III
Author | : S. MacLane |
Publisher | : Springer |
Total Pages | : 255 |
Release | : 2006-11-22 |
Genre | : Mathematics |
ISBN | : 3540361502 |
Lecture Notes on Topoi and Quasitopoi
Author | : Oswald Wyler |
Publisher | : World Scientific |
Total Pages | : 306 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 9789810201531 |
Quasitopoi generalize topoi, a concept of major importance in the theory of Categoreis, and its applications to Logic and Computer Science. In recent years, quasitopoi have become increasingly important in the diverse areas of Mathematics such as General Topology and Fuzzy Set Theory. These Lecture Notes are the first comprehensive introduction to quasitopoi, and they can serve as a first introduction to topoi as well.
Category Seminar
Author | : G.M. Kelly |
Publisher | : Springer |
Total Pages | : 386 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540372709 |
Towards Higher Categories
Author | : John C. Baez |
Publisher | : Springer Science & Business Media |
Total Pages | : 292 |
Release | : 2009-09-24 |
Genre | : Algebra |
ISBN | : 1441915362 |
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.
Grothendieck Construction of Bipermutative-Indexed Categories
Author | : Donald Yau |
Publisher | : CRC Press |
Total Pages | : 361 |
Release | : 2023-12-06 |
Genre | : Mathematics |
ISBN | : 1003807461 |
This monograph is the first and only book-length reference for this material. Contents of Chapter 2, Chapter 3, Part 2, and Part 3 is new, not having appeared in any of the research literature. The book will appeal to mathematicians interested in topology. Book shelved as a reference title.