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Simplicial and Dendroidal Homotopy Theory

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This open access book offers a self-contained introduction to the homotopy theory of simplicial and dendroidal sets and spaces. These are essential for the study of categories, operads, and algebraic structure up to coherent homotopy. The dendroidal theory combines the combinatorics of trees with th...

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Bibliographic Details
Main Author: Heuts, Gijs (auth)
Other Authors: Moerdijk, Ieke (auth)
Format: Electronic Book Chapter
Language:English
Published: Cham Springer Nature 2022
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 75
Subjects:
Mathematical foundations
Algebraic topology
Operads
infinity-operad
infinity-category
simplicial set
dendroidal set
simplicial space
simplicial operad
model categories
Bousfield localization
Boardman-Vogt
higher algebra
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