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Elementary categories, elementary toposes

Author: Colin MacLarty
Publisher: Oxford Clarendon Press 2005
Edition/Format:  Print book : English : ReprintView all editions and formats
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The text introduces categories and elementary toposes while requiring little mathematical background. It defines the key concepts and gives complete elementary proofs of theorems, including the  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Colin MacLarty
ISBN: 0198514735 9780198514732
OCLC Number: 552406388
Notes: Literaturverz. S. [257] - 261
Description: XIII, 265 Seiten Diagramme
Contents: Introduction; PART I: CATEGORIES: Rudimentary structures in a category; Products, equalizers, and their duals; Groups; Sub-objects, pullbacks, and limits; Relations; Cartesian closed categories; Product operators and others; PART II: THE CATEGORY OF CATEGORIES: Functors and categories; Natural transformations; Adjunctions; Slice categories; Mathematical foundations; PART III: TOPOSES: Basics; The internal language; A soundness proof for topos logic; From the internallanguage to the topos; The fundamental theorem; External semantics; Natural number objects; Categories in a topos; Topologies; PART IV: SOME TOPOSES: Sets; Synthetic differential geometry; The effective topos; Relations in regular categories; Further reading; Bibliography; Index.
Responsibility: Colin McLarty
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A comprehensive introduction to elementary category theory and elementary topos theory . . . The book is well written . . . Ideal as an introduction for a researcher who wants to understand some of Read more...

 
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