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Higher Segal Spaces
Language: en
Pages: 230
Authors: Tobias Dyckerhoff
Categories: Mathematics
Type: BOOK - Published: 2019-10-17 - Publisher: Springer Nature

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This monograph initiates a theory of new categorical structures that generalize the simplicial Segal property to higher dimensions. The authors introduce the no
Higher Topos Theory
Language: en
Pages: 944
Authors: Jacob Lurie
Categories: Mathematics
Type: BOOK - Published: 2009-07-26 - Publisher: Princeton University Press

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In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and show
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
Infinity Properads and Infinity Wheeled Properads
Language: en
Pages: 368
Authors: Philip Hackney
Categories: Mathematics
Type: BOOK - Published: 2015-09-07 - Publisher: Springer

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The topic of this book sits at the interface of the theory of higher categories (in the guise of (∞,1)-categories) and the theory of properads. Properads are
Homotopy Theory of Higher Categories
Language: en
Pages: 653
Authors: Carlos Simpson
Categories: Mathematics
Type: BOOK - Published: 2011-10-20 - Publisher: Cambridge University Press

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The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theor