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 th...
Saved in:
Main Author: | |
---|---|
Other Authors: | |
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
|
Subjects: | |
Online Access: | DOAB: download the publication DOAB: description of the publication |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
MARC
LEADER | 00000naaaa2200000uu 4500 | ||
---|---|---|---|
001 | doab_20_500_12854_91316 | ||
005 | 20220818 | ||
003 | oapen | ||
006 | m o d | ||
007 | cr|mn|---annan | ||
008 | 20220818s2022 xx |||||o ||| 0|eng d | ||
020 | |a 978-3-031-10447-3 | ||
020 | |a 9783031104473 | ||
040 | |a oapen |c oapen | ||
024 | 7 | |a 10.1007/978-3-031-10447-3 |c doi | |
041 | 0 | |a eng | |
042 | |a dc | ||
072 | 7 | |a PBC |2 bicssc | |
072 | 7 | |a PBPD |2 bicssc | |
100 | 1 | |a Heuts, Gijs |4 auth | |
700 | 1 | |a Moerdijk, Ieke |4 auth | |
245 | 1 | 0 | |a Simplicial and Dendroidal Homotopy Theory |
260 | |a Cham |b Springer Nature |c 2022 | ||
300 | |a 1 electronic resource (612 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
490 | 1 | |a Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics | |
506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
520 | |a 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. | ||
540 | |a Creative Commons |f by/4.0/ |2 cc |4 http://creativecommons.org/licenses/by/4.0/ | ||
546 | |a English | ||
650 | 7 | |a Mathematical foundations |2 bicssc | |
650 | 7 | |a Algebraic topology |2 bicssc | |
653 | |a Operads | ||
653 | |a infinity-operad | ||
653 | |a infinity-category | ||
653 | |a simplicial set | ||
653 | |a dendroidal set | ||
653 | |a simplicial space | ||
653 | |a simplicial operad | ||
653 | |a model categories | ||
653 | |a Bousfield localization | ||
653 | |a Boardman-Vogt | ||
653 | |a higher algebra | ||
856 | 4 | 0 | |a www.oapen.org |u https://library.oapen.org/bitstream/20.500.12657/57895/1/978-3-031-10447-3.pdf |7 0 |z DOAB: download the publication |
856 | 4 | 0 | |a www.oapen.org |u https://library.oapen.org/bitstream/20.500.12657/57895/1/978-3-031-10447-3.pdf |7 0 |z DOAB: download the publication |
856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/91316 |7 0 |z DOAB: description of the publication |