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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
Simplicial Methods for Operads and Algebraic Geometry
Language: en
Pages: 186
Authors: Ieke Moerdijk
Categories: Mathematics
Type: BOOK - Published: 2010-12-01 - Publisher: Springer Science & Business Media

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"This book is an introduction to two higher-categorical topics in algebraic topology and algebraic geometry relying on simplicial methods. It is based on lectur
Higher Categories and Homotopical Algebra
Language: en
Pages: 449
Authors: Denis-Charles Cisinski
Categories: Mathematics
Type: BOOK - Published: 2019-05-02 - Publisher: Cambridge University Press

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At last, a friendly introduction to modern homotopy theory after Joyal and Lurie, reaching advanced tools and starting from scratch.
Higher Topos Theory (AM-170)
Language: en
Pages: 944
Authors: Jacob Lurie
Categories: Mathematics
Type: BOOK - Published: 2009-07-06 - Publisher: Princeton University Press

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Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, high
Simplicial Objects in Algebraic Topology
Language: en
Pages: 171
Authors: J. P. May
Categories: Mathematics
Type: BOOK - Published: 1992 - Publisher: University of Chicago Press

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Simplicial sets are discrete analogs of topological spaces. They have played a central role in algebraic topology ever since their introduction in the late 1940