UID:
almahu_9947367765202882
Format:
1 online resource (315 p.)
ISBN:
1-281-75629-6
,
9786611756291
,
0-08-088701-5
Series Statement:
North-Holland mathematical library, v. 39
Content:
General concepts and methods that occur throughout mathematics - and now also in theoretical computer science - are the subject of this book. It is a thorough introduction to Categories, emphasizing the geometric nature of the subject and explaining its connections to mathematical logic. The book should appeal to the inquisitive reader who has seen some basic topology and algebra and would like to learn and explore further.The first part contains a detailed treatment of the fundamentals of Geometric Logic, which combines four central ideas: natural transformations, sheaves, adjoint fun
Note:
Description based upon print version of record.
,
Front Cover; Categories, Allegories, Volume 39; Copyright Page; PREFACE; CONTENTS (and introduced notions); Chapter One: CATEGORIES; 1.1. Basic definitions; 1.2. Basic examples and constructions; 1.3. Equivalence of categories; 1.4. Cartesian categories; 1.5. Regular categories; 1.6. Pre-logoi; 1.7. Logoi; 1.8. Adjoint functors, Grothendieck topoi, and exponential categories; 1.9. Topoi; 1.(10). Sconing; Chapter Two: ALLEGORIES; 2.1. Basic definitions; 2.2. Distributive allegories; 2.3. Division allegories; 2.4. Power allegories; 2.5. Quotient allegories; APPENDICES; Appendix A; Appendix B
,
Subject Index
,
English
Additional Edition:
ISBN 0-444-70368-3
Language:
English
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