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Category theory: an introduction

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Bibliographic Details
Main Authors:	Herrlich, Horst 1937-2015 (Author), Strecker, George E. (Author)
Format:	Book
Language:	English
Published:	Berlin Heldermann 1979
Edition:	2. ed.
Series:	Sigma series in pure mathematics 1
Subjects:	Catégories (Mathématiques) Categories (Mathematics) Mathematik Kategorientheorie Kategorie > Mathematik Einführung
Online Access:	Inhaltsverzeichnis
Physical Description:	XI, 400 S. graph. Darst.
ISBN:	3885380013

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MARC


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adam_text	Contents Preface ix I. Introduction 1 II. Foundations 9 1 Sets, classes, and conglomerates 9 III. Categories 13 2 Concrete categories 13 3 Abstract categories 15 4 New categories from old 23 IV. Special Morphisms and Special Objects 32 5 Sections, retractions, and isomorphisms 32 6 Monomorphisms, epimorphisms, and bimorphisms 38 7 Initial, terminal, and zero objects 46 8 Constant morphisms, zero morphisms, and pointed categories 48 V. Functors and Natural Transformations 53 9 Functors 53 10 Horn functors 61 11 Categories of categories 64 12 Properties of functors 67 13 Natural transformations and natural isomorphisms 77 14 Isomorphisms and equivalences of categories 86 15 Functor categories 93 VI. Limits in Categories 100 16 Equalizers and coequalizers 100 17 Intersections and factorizations 107 18 Products and coproducts 115 vii viii Contents 19 Sources and sinks 126 20 Limits and colimits 133 21 Pullbacks and pushouts 138 22 Inverse and direct limits 151 23 Complete categories 155 24 Functors that preserve and reflect limits 166 25 Limits in functor categories 171 VII. Adjoint Situations 177 26 Universal maps 177 27 Adjoint functors 194 28 Existence of adjoints 207 VIII. Set Valued Functors 217 29 Hom functors 217 30 Representable functors 221 31 Free objects 231 32 Algebraic categories and algebraic functors 236 IX. Subobjects, Quotient Objects, and Factorizations 249 33 ( ?, J?) categories 249 34 (Epi, extremal mono) and (extremal epi, mono) categories 255 35 (Generating, extremal mono) and (extremal generating, mono) factorizations 267 X. Reflective Subcategories 275 36 General reflective subcategories 275 37 Characterization and generation of f reflective subcategories 281 38 Algebraic subcategories 288 XI. Pointed Categories 293 39 Normal and exact categories 294 40 Additive categories 305 41 Abelian categories 318 Appendix: Foundations 328 Bibliography 332 Index of Symbols 381 Index 383
any_adam_object	1
author	Herrlich, Horst 1937-2015 Strecker, George E.
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dewey-ones	512 - Algebra
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dewey-tens	510 - Mathematics
discipline	Mathematik
edition	2. ed.
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physical	XI, 400 S. graph. Darst.
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series	Sigma series in pure mathematics
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spelling	Herrlich, Horst 1937-2015 Verfasser (DE-588)105921580 aut Category theory an introduction Horst Herrlich ; George E. Strecker 2. ed. Berlin Heldermann 1979 XI, 400 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Sigma series in pure mathematics 1 Catégories (Mathématiques) Categories (Mathematics) Mathematik (DE-588)4037944-9 gnd rswk-swf Kategorientheorie (DE-588)4120552-2 gnd rswk-swf Kategorie Mathematik (DE-588)4129930-9 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Kategorie Mathematik (DE-588)4129930-9 s DE-604 Kategorientheorie (DE-588)4120552-2 s 1\p DE-604 Mathematik (DE-588)4037944-9 s 2\p DE-604 Strecker, George E. Verfasser aut Sigma series in pure mathematics 1 (DE-604)BV000012120 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001474106&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Herrlich, Horst 1937-2015 Strecker, George E. Category theory an introduction Sigma series in pure mathematics Catégories (Mathématiques) Categories (Mathematics) Mathematik (DE-588)4037944-9 gnd Kategorientheorie (DE-588)4120552-2 gnd Kategorie Mathematik (DE-588)4129930-9 gnd
subject_GND	(DE-588)4037944-9 (DE-588)4120552-2 (DE-588)4129930-9 (DE-588)4151278-9
title	Category theory an introduction
title_auth	Category theory an introduction
title_exact_search	Category theory an introduction
title_full	Category theory an introduction Horst Herrlich ; George E. Strecker
title_fullStr	Category theory an introduction Horst Herrlich ; George E. Strecker
title_full_unstemmed	Category theory an introduction Horst Herrlich ; George E. Strecker
title_short	Category theory
title_sort	category theory an introduction
title_sub	an introduction
topic	Catégories (Mathématiques) Categories (Mathematics) Mathematik (DE-588)4037944-9 gnd Kategorientheorie (DE-588)4120552-2 gnd Kategorie Mathematik (DE-588)4129930-9 gnd
topic_facet	Catégories (Mathématiques) Categories (Mathematics) Mathematik Kategorientheorie Kategorie Mathematik Einführung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001474106&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000012120
work_keys_str_mv	AT herrlichhorst categorytheoryanintroduction AT streckergeorgee categorytheoryanintroduction

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