Coherence in three-dimensional category theory / Nick Gurski.
"Dimension three is an important test-bed for hypotheses in higher category theory and occupies something of a unique position in the categorical landscape. At the heart of matters is the coherence theorem, of which this book provides a definitive treatment, as well as covering related results....
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Year of Publication: | 2013 |
Language: | English |
Series: | Cambridge tracts in mathematics ;
201 |
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Physical Description: | vii, 278 p. :; ill. |
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(MiAaPQ)5001139621 (Au-PeEL)EBL1139621 (CaPaEBR)ebr10667768 (CaONFJC)MIL471245 (OCoLC)830001169 |
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Gurski, Nick, 1980- Coherence in three-dimensional category theory [electronic resource] / Nick Gurski. Cambridge : Cambridge University Press, 2013. vii, 278 p. : ill. Cambridge tracts in mathematics ; 201 Includes bibliographical references and index. Machine generated contents note: Introduction; Part I. Background: 1. Bicategorical background; 2. Coherence for bicategories; 3. Gray-categories; Part II. Tricategories: 4. The algebraic definition of tricategory; 5. Examples; 6. Free constructions; 7. Basic structure; 8. Gray-categories and tricategories; 9. Coherence via Yoneda; 10. Coherence via free constructions; Part III. Gray monads: 11. Codescent in Gray-categories; 12. Codescent as a weighted colimit; 13. Gray-monads and their algebras; 14. The reflection of lax algebras into strict algebras; 15. A general coherence result; Bibliography; Index. "Dimension three is an important test-bed for hypotheses in higher category theory and occupies something of a unique position in the categorical landscape. At the heart of matters is the coherence theorem, of which this book provides a definitive treatment, as well as covering related results. Along the way the author treats such material as the Gray tensor product and gives a construction of the fundamental 3-groupoid of a space. The book serves as a comprehensive introduction, covering essential material for any student of coherence and assuming only a basic understanding of higher category theory. It is also a reference point for many key concepts in the field and therefore a vital resource for researchers wishing to apply higher categories or coherence results in fields such as algebraic topology or theoretical computer science"-- Provided by publisher. Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. Tricategories. Electronic books. ProQuest (Firm) https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=1139621 Click to View |
language |
English |
format |
Electronic eBook |
author |
Gurski, Nick, 1980- |
spellingShingle |
Gurski, Nick, 1980- Coherence in three-dimensional category theory Machine generated contents note: Introduction; Part I. Background: 1. Bicategorical background; 2. Coherence for bicategories; 3. Gray-categories; Part II. Tricategories: 4. The algebraic definition of tricategory; 5. Examples; 6. Free constructions; 7. Basic structure; 8. Gray-categories and tricategories; 9. Coherence via Yoneda; 10. Coherence via free constructions; Part III. Gray monads: 11. Codescent in Gray-categories; 12. Codescent as a weighted colimit; 13. Gray-monads and their algebras; 14. The reflection of lax algebras into strict algebras; 15. A general coherence result; Bibliography; Index. |
author_facet |
Gurski, Nick, 1980- ProQuest (Firm) ProQuest (Firm) |
author_variant |
n g ng |
author2 |
ProQuest (Firm) |
author2_role |
TeilnehmendeR |
author_corporate |
ProQuest (Firm) |
author_sort |
Gurski, Nick, 1980- |
title |
Coherence in three-dimensional category theory |
title_full |
Coherence in three-dimensional category theory [electronic resource] / Nick Gurski. |
title_fullStr |
Coherence in three-dimensional category theory [electronic resource] / Nick Gurski. |
title_full_unstemmed |
Coherence in three-dimensional category theory [electronic resource] / Nick Gurski. |
title_auth |
Coherence in three-dimensional category theory |
title_new |
Coherence in three-dimensional category theory |
title_sort |
coherence in three-dimensional category theory |
publisher |
Cambridge University Press, |
publishDate |
2013 |
physical |
vii, 278 p. : ill. |
contents |
Machine generated contents note: Introduction; Part I. Background: 1. Bicategorical background; 2. Coherence for bicategories; 3. Gray-categories; Part II. Tricategories: 4. The algebraic definition of tricategory; 5. Examples; 6. Free constructions; 7. Basic structure; 8. Gray-categories and tricategories; 9. Coherence via Yoneda; 10. Coherence via free constructions; Part III. Gray monads: 11. Codescent in Gray-categories; 12. Codescent as a weighted colimit; 13. Gray-monads and their algebras; 14. The reflection of lax algebras into strict algebras; 15. A general coherence result; Bibliography; Index. |
isbn |
9781107333574 (electronic bk.) |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA169 |
callnumber-sort |
QA 3169 G87 42013 |
genre |
Electronic books. |
genre_facet |
Electronic books. |
url |
https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=1139621 |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
512 - Algebra |
dewey-full |
512/.55 |
dewey-sort |
3512 255 |
dewey-raw |
512/.55 |
dewey-search |
512/.55 |
oclc_num |
830001169 |
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(MiAaPQ)5001139621 (Au-PeEL)EBL1139621 (CaPaEBR)ebr10667768 (CaONFJC)MIL471245 (OCoLC)830001169 |
is_hierarchy_title |
Coherence in three-dimensional category theory |
author2_original_writing_str_mv |
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