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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
Simplicial Methods for Higher Categories
Language: en
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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 Homotopy Theory
Language: en
Pages: 510
Authors: Paul G. Goerss
Categories: Mathematics
Type: BOOK - Published: 2009-12-05 - Publisher: Springer Science & Business Media

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Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic the
Homotopy of Operads and Grothendieck-Teichmuller Groups
Language: en
Pages: 704
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The ultimate goal of this book is to explain that the Grothendieck–Teichmüller group, as defined by Drinfeld in quantum group theory, has a topological inter
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