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Complicial Sets Characterising the Simplicial Nerves of Strict $\omega $-Categories
Language: en
Pages: 208
Authors: Dominic Verity
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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The primary purpose of this work is to characterise strict $\omega$-categories as simplicial sets with structure. The author proves the Street-Roberts conjectur
Towards Higher Categories
Language: en
Pages: 292
Authors: John C. Baez
Categories: Algebra
Type: BOOK - Published: 2009-09-24 - Publisher: Springer Science & Business Media

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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
Diagrammatic Morphisms and Applications
Language: en
Pages: 232
Authors: David E. Radford
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

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The technique of diagrammatic morphisms is an important ingredient in comprehending and visualizing certain types of categories with structure. It was widely us
Deep Beauty
Language: en
Pages: 487
Authors: Hans Halvorson
Categories: Mathematics
Type: BOOK - Published: 2011-04-18 - Publisher: Cambridge University Press

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No scientific theory has caused more puzzlement and confusion than quantum theory. Physics is supposed to help us to understand the world, but quantum theory ma
Elements of ∞-Category Theory
Language: en
Pages: 782
Authors: Emily Riehl
Categories: Mathematics
Type: BOOK - Published: 2022-02-10 - Publisher: Cambridge University Press

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The language of ∞-categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninit
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