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Simplicial and Dendroidal Homotopy Theory by Gijs Heuts: Used
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- Buy It NowSimplicial and Dendroidal Homotopy Theory by Gijs Heuts: Used
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eBay item number:285805722308
Item specifics
- Condition
- Book Title
- Simplicial and Dendroidal Homotopy Theory
- Publication Date
- 2022-08-03
- ISBN
- 9783031104466
- Subject Area
- Mathematics
- Publication Name
- Simplicial and Dendroidal Homotopy Theory
- Item Length
- 9.3 in
- Publisher
- Springer International Publishing A&G
- Subject
- Algebra / Abstract, Topology
- Series
- Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3. Folge / a Series of Modern Surveys in Mathematics Ser.
- Publication Year
- 2022
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Width
- 6.1 in
- Item Weight
- 39 Oz
- Number of Pages
- Xx, 612 Pages
About this product
Product Information
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. Simplicial and Dendroidal Homotopy Theory is a complete introduction, carefully written with the beginning researcher in mind and ideally suited for seminars and courses. It can also be used as a standalone introduction to simplicial homotopy theory and to the theory of infinity-categories, or a standalone introduction to the theory of Quillen model categories and Bousfield localization.
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3031104463
ISBN-13
9783031104466
eBay Product ID (ePID)
26057276018
Product Key Features
Publication Name
Simplicial and Dendroidal Homotopy Theory
Format
Hardcover
Language
English
Subject
Algebra / Abstract, Topology
Series
Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3. Folge / a Series of Modern Surveys in Mathematics Ser.
Publication Year
2022
Type
Textbook
Subject Area
Mathematics
Number of Pages
Xx, 612 Pages
Dimensions
Item Length
9.3 in
Item Width
6.1 in
Item Weight
39 Oz
Additional Product Features
Series Volume Number
75
Number of Volumes
1 Vol.
Lc Classification Number
Qa169
Reviews
"This book is a readable and carefully organized account of dendroidal sets by two of the main figures in the field. It gives a self-contained, detailed description of dendroidal sets and spaces ... . Each chapter is also accompanied by a short section of historical notes giving background, references, and historical perspectives on the ideas presented." (Ben C Walter, Mathematical Reviews, December, 2023)
Table of Content
Part I The Elementary Theory of Simplicial and Dendroidal Sets.- 1 Operads.- 2 Simplicial Sets.- 3 Dendroidal Sets.- 4 Tensor Products of Dendroidal Sets.- 5 Kan Conditions for Simplicial Sets.- 6 Kan Conditions for Dendroidal Sets.- Part II The Homotopy Theory of Simplicial and Dendroidal Sets.- 7 Model Categories.- 8 Model Structures on the Category of Simplicial Sets.- 9 Three Model Structures on the Category of Dendroidal Sets.- Part III The Homotopy Theory of Simplicial and Dendroidal Spaces.- 10 Reedy Categories and Diagrams of Spaces.- 11 Mapping Spaces and Bousfield Localizations.- 12 Dendroidal Spaces and ∞-Operads.- 13 Left Fibrations and the Covariant Model Structure.- 14 Simplicial Operads and ∞-Operads.- Epilogue.- References.- Index.
Copyright Date
2022
Illustrated
Yes
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