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Cubical Models of $(infty ,1)$-Categories

Authors: Brandon Doherty
Categories: Mathematics
Type: BOOK - Published: 2024-06-07 - Publisher: American Mathematical Society

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Higher Operads, Higher Categories
Language: en
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Higher Operads, Higher Categories

Authors: Tom Leinster
Categories: Mathematics
Type: BOOK - Published: 2004-07-22 - Publisher: Cambridge University Press

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Foundations of higher dimensional category theory for graduate students and researchers in mathematics and mathematical physics.
From Categories to Homotopy Theory
Language: en
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From Categories to Homotopy Theory

Authors: Birgit Richter
Categories: Mathematics
Type: BOOK - Published: 2020-04-16 - Publisher: Cambridge University Press

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Category theory provides structure for the mathematical world and is seen everywhere in modern mathematics. With this book, the author bridges the gap between p
Nonabelian Algebraic Topology
Language: en
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Nonabelian Algebraic Topology

Authors: Ronald Brown
Categories: Mathematics
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The main theme of this book is that the use of filtered spaces rather than just topological spaces allows the development of basic algebraic topology in terms o
The Homotopy Theory of (∞,1)-Categories
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The Homotopy Theory of (∞,1)-Categories

Authors: Julia E. Bergner
Categories: Mathematics
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The notion of an (∞,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many different approach

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