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Simplicial and Dendroidal Homotopy Theory

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 the theory of Quillen model categories.

Dendroidal sets are a natural generalization of simplicial sets from the point of view of operads. In this book, the simplicial approach to higher category theory is generalized to a dendroidal approach to higher operad theory. This dendroidal theory of higher operads is carefully developed in this book. The book also provides an original account of the more established simplicial approach to infinity-categories, which is developed in parallel to the dendroidal theory to emphasize the similarities and differences.

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Series Title
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Call Number
510
Publisher
Cambridge : Springer Cham.,
Collation
Mathematics
Language
English
ISBN/ISSN
978-3-031-10447-3
Classification
NONE
Content Type
text
Media Type
computer
Carrier Type
online resource
Edition
1
Subject(s)
Algebraic Topology
Homological Algebra
Category Theory
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Other Information
Cataloger
Suwardi
Source
https://link.springer.com/book/10.1007/978-3-031-10447-3
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