Towards Higher Categories
The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology...
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| Format: | Electronic eBook |
| Language: | English |
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New York, NY :
Springer New York : Imprint: Springer,
2010.
|
| Edition: | 1st ed. 2010. |
| Series: | The IMA Volumes in Mathematics and its Applications,
152 |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-1-4419-1524-5 |
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| 024 | 7 | |a 10.1007/978-1-4419-1524-5 |2 doi | |
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| 245 | 1 | 0 | |a Towards Higher Categories |h [electronic resource] / |c edited by John C. Baez, J. Peter May. |
| 250 | |a 1st ed. 2010. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Springer, |c 2010. | |
| 300 | |a XIII, 283 p. |b online resource. | ||
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| 490 | 1 | |a The IMA Volumes in Mathematics and its Applications, |x 0940-6573 ; |v 152 | |
| 505 | 0 | |a Lectures on -Categories and Cohomology -- A Survey of (#x221E;, 1)-Categories -- Internal Categorical Structures in Homotopical Algebra -- A 2-Categories Companion -- Notes on 1- and 2-Gerbes -- An Australian Conspectus of Higher Categories. | |
| 520 | |a The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory. The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy n-types. These are areas that are particularly well understood, and where a fully integrated theory exists. The main focus of the book is on the richness to be found in the theory of bicategories, which gives the essential starting point towards the understanding of higher categorical structures. An article by Stephen Lack gives a thorough, but informal, guide to this theory. A paper by Larry Breen on the theory of gerbes shows how such categorical structures appear in differential geometry. This book is dedicated to Max Kelly, the founder of the Australian school of category theory, and an historical paper by Ross Street describes its development. | ||
| 650 | 0 | |a Category theory (Mathematics). | |
| 650 | 0 | |a Homological algebra. | |
| 650 | 0 | |a Algebraic topology. | |
| 650 | 0 | |a Topology. | |
| 650 | 1 | 4 | |a Category Theory, Homological Algebra. |0 https://scigraph.springernature.com/ontologies/product-market-codes/M11035 |
| 650 | 2 | 4 | |a Algebraic Topology. |0 https://scigraph.springernature.com/ontologies/product-market-codes/M28019 |
| 650 | 2 | 4 | |a Topology. |0 https://scigraph.springernature.com/ontologies/product-market-codes/M28000 |
| 700 | 1 | |a Baez, John C. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a May, J. Peter. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9781441915368 |
| 776 | 0 | 8 | |i Printed edition: |z 9781441915238 |
| 776 | 0 | 8 | |i Printed edition: |z 9781461424635 |
| 830 | 0 | |a The IMA Volumes in Mathematics and its Applications, |x 0940-6573 ; |v 152 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4419-1524-5 |
| 912 | |a ZDB-2-SMA | ||
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||