Enriched Infinity Operads

Enriched Infinity Operads

In this dissertation we define an analogue, in the setting of infinity categories, of the classical notion of an enriched operad. We introduce six different models of enriched infinity operads. In particular, we generalize the operator category approach of Clark Barwick to the enriched setting as we...

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Bibliographic Details
Main Author: Chu, Hongyi
Other Authors: Prof. Dr. Markus Spitzweck
Format: Doctoral Thesis
Language:English
Published: 2016
Subjects:
Infinity operads
Enrichment
Topology
Category Theory
31.61 - Algebraische Topologie
55-02 - Research exposition
ddc:510
Online Access:https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2016120915206
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spelling ndltd-uni-osnabrueck.de-oai-repositorium.ub.uni-osnabrueck.de-urn-nbn-de-gbv-700-20161209152062020-10-28T17:22:23Z Enriched Infinity Operads Angereicherte Unendlich-Operaden Chu, Hongyi Prof. Dr. Markus Spitzweck Prof. Benoit Fresse Infinity operads Enrichment Topology Category Theory 31.61 - Algebraische Topologie 55-02 - Research exposition ddc:510 In this dissertation we define an analogue, in the setting of infinity categories, of the classical notion of an enriched operad. We introduce six different models of enriched infinity operads. In particular, we generalize the operator category approach of Clark Barwick to the enriched setting as well as Moerdijk-Weiss' notion of dendroidal sets. The main part of the thesis consists of the comparison between different approaches to enriched operads. 2016-12-09 doc-type:doctoralThesis https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2016120915206 eng Namensnennung 3.0 Unported http://creativecommons.org/licenses/by/3.0/ application/zip application/pdf
collection NDLTD
language English
format Doctoral Thesis
sources NDLTD
topic Infinity operads
Enrichment
Topology
Category Theory
31.61 - Algebraische Topologie
55-02 - Research exposition
ddc:510
spellingShingle Infinity operads
Enrichment
Topology
Category Theory
31.61 - Algebraische Topologie
55-02 - Research exposition
ddc:510
Chu, Hongyi
Enriched Infinity Operads
description In this dissertation we define an analogue, in the setting of infinity categories, of the classical notion of an enriched operad. We introduce six different models of enriched infinity operads. In particular, we generalize the operator category approach of Clark Barwick to the enriched setting as well as Moerdijk-Weiss' notion of dendroidal sets. The main part of the thesis consists of the comparison between different approaches to enriched operads.
author2 Prof. Dr. Markus Spitzweck
author_facet Prof. Dr. Markus Spitzweck
Chu, Hongyi
author Chu, Hongyi
author_sort Chu, Hongyi
title Enriched Infinity Operads
title_short Enriched Infinity Operads
title_full Enriched Infinity Operads
title_fullStr Enriched Infinity Operads
title_full_unstemmed Enriched Infinity Operads
title_sort enriched infinity operads
publishDate 2016
url https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2016120915206
work_keys_str_mv AT chuhongyi enrichedinfinityoperads
AT chuhongyi angereicherteunendlichoperaden
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