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Handbook Of Categorical Algebra


Handbook Of Categorical Algebra
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Handbook Of Categorical Algebra Basic Category Theory


Handbook Of Categorical Algebra Basic Category Theory
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Author : Francis Borceux
language : en
Publisher: Cambridge University Press
Release Date : 1994

Handbook Of Categorical Algebra Basic Category Theory written by Francis Borceux and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.


The first of a 3-volume work, this text gives a detailed account of what should be known by all working in, or using category theory. This volume covers basic the concepts.



Handbook Of Categorical Algebra Volume 2 Categories And Structures


Handbook Of Categorical Algebra Volume 2 Categories And Structures
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Author : Francis Borceux
language : en
Publisher: Cambridge University Press
Release Date : 1994-11-03

Handbook Of Categorical Algebra Volume 2 Categories And Structures written by Francis Borceux and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-11-03 with Mathematics categories.


The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence. The second, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibred categories. There is ample material here for a graduate course in category theory, and the book should also serve as a reference for users.



Handbook Of Categorical Algebra Volume 2 Categories And Structures


Handbook Of Categorical Algebra Volume 2 Categories And Structures
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Author : Francis Borceux
language : en
Publisher: Cambridge University Press
Release Date : 2008-04-24

Handbook Of Categorical Algebra Volume 2 Categories And Structures written by Francis Borceux and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-24 with Mathematics categories.


The second volume, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibered categories.



Handbook Of Categorical Algebra


Handbook Of Categorical Algebra
DOWNLOAD
Author : Francis Borceux
language : en
Publisher:
Release Date : 1994

Handbook Of Categorical Algebra written by Francis Borceux and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Categories (Mathematics) categories.




Basic Category Theory


Basic Category Theory
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Author : Tom Leinster
language : en
Publisher: Cambridge University Press
Release Date : 2014-07-24

Basic Category Theory written by Tom Leinster and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-24 with Mathematics categories.


A short introduction ideal for students learning category theory for the first time.



Handbook Of Categorical Algebra Volume 3 Sheaf Theory


Handbook Of Categorical Algebra Volume 3 Sheaf Theory
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Author : Francis Borceux
language : en
Publisher: Cambridge University Press
Release Date : 1994-12-08

Handbook Of Categorical Algebra Volume 3 Sheaf Theory written by Francis Borceux and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-08 with Mathematics categories.


The Handbook of Categorical Algebra is intended to give, in three volumes, a rather detailed account of what, ideally, everybody working in category theory should know, whatever the specific topic of research they have chosen. The book is planned also to serve as a reference book for both specialists in the field and all those using category theory as a tool. Volume 3 begins with the essential aspects of the theory of locales, proceeding to a study in chapter 2 of the sheaves on a locale and on a topological space, in their various equivalent presentations: functors, etale maps or W-sets. Next, this situation is generalized to the case of sheaves on a site and the corresponding notion of Grothendieck topos is introduced. Chapter 4 relates the theory of Grothendieck toposes with that of accessible categories and sketches, by proving the existence of a classifying topos for all coherent theories.



Handbook Of Categorical Algebra


Handbook Of Categorical Algebra
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Author : Francis Borceux
language : en
Publisher:
Release Date : 1994

Handbook Of Categorical Algebra written by Francis Borceux and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Categories (Mathematics) categories.




Categories For The Working Mathematician


Categories For The Working Mathematician
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Author : Saunders Mac Lane
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-09-25

Categories For The Working Mathematician written by Saunders Mac Lane and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-25 with Mathematics categories.


Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterized by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories.



A Handbook Of Model Categories


A Handbook Of Model Categories
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Author : Scott Balchin
language : en
Publisher: Springer Nature
Release Date : 2021-10-29

A Handbook Of Model Categories written by Scott Balchin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-29 with Mathematics categories.


This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs. Quillen model categories are a fundamental tool for the understanding of homotopy theory. While many introductions to model categories fall back on the same handful of canonical examples, the present book highlights a large, self-contained collection of other examples which appear throughout the literature. In particular, it collects a highly scattered literature into a single volume. The book is aimed at anyone who uses, or is interested in using, model categories to study homotopy theory. It is written in such a way that it can be used as a reference guide for those who are already experts in the field. However, it can also be used as an introduction to the theory for novices.



Stone Spaces


Stone Spaces
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Author : Peter T. Johnstone
language : en
Publisher: Cambridge University Press
Release Date : 1982

Stone Spaces written by Peter T. Johnstone and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.


A unified treatment of the corpus of mathematics that has developed out of M. H. Stone's representation theorem for Boolean algebras (1936) which has applications in almost every area of modern mathematics.