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Coherence for Tricategories
Language: en
Pages: 94
Authors: Robert Gordon
Categories: Mathematics
Type: BOOK - Published: 1995 - Publisher: American Mathematical Soc.

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This work defines the concept of tricategory as the natural 3-dimensional generalization of bicategory. Trihomomorphism and triequivalence for tricategories are
Coherence in Three-Dimensional Category Theory
Language: en
Pages: 288
Authors: Nick Gurski
Categories: Tricategories
Type: BOOK - Published: 2014-05-14 - Publisher:

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Serves as an introduction to higher categories as well as a reference point for many key concepts in the field.
Coherence in Three-Dimensional Category Theory
Language: en
Pages: 287
Authors: Nick Gurski
Categories: Mathematics
Type: BOOK - Published: 2013-03-21 - Publisher: Cambridge University Press

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Serves as an introduction to higher categories as well as a reference point for many key concepts in the field.
2-Dimensional Categories
Language: en
Pages: 476
Authors: Niles Johnson
Categories: Science
Type: BOOK - Published: 2021-01-31 - Publisher: Oxford University Press

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Category theory emerged in the 1940s in the work of Samuel Eilenberg and Saunders Mac Lane. It describes relationships between mathematical structures. Outside
Simplicial Methods for Higher Categories
Language: en
Pages: 343
Authors: Simona Paoli
Categories: Mathematics
Type: BOOK - Published: 2019-06-03 - Publisher: Springer

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This monograph presents a new model of mathematical structures called weak n-categories. These structures find their motivation in a wide range of fields, from