Two models for the homotopy theory of $\infty$-operads
Journal of Topology 11(4) (2018) 856-872 We compare two models for $\infty$-operads: the complete Segal operads of Barwick and the complete dendroidal Segal spaces of Cisinski and Moerdijk. Combining this with comparison results already in the literature, this implies that all known models for $\inf...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Chu, Hongyi Haugseng, Rune Heuts, Gijs |
| description | Journal of Topology 11(4) (2018) 856-872 We compare two models for $\infty$-operads: the complete Segal operads of
Barwick and the complete dendroidal Segal spaces of Cisinski and Moerdijk.
Combining this with comparison results already in the literature, this implies
that all known models for $\infty$-operads are equivalent - for instance, it
follows that the homotopy theory of Lurie's $\infty$-operads is equivalent to
that of dendroidal sets and that of simplicial operads. |
| doi_str_mv | 10.48550/arxiv.1606.03826 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1606_03826</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1606_03826</sourcerecordid><originalsourceid>FETCH-arxiv_primary_1606_038263</originalsourceid><addsrcrecordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzNDMw0zMwtjAy42QwCynPV8jNT0nNKVZIyy9SKMlIVcjIz80vyS-oBHHyiyoV8tMUVGIy89JKKlV08wtSixJTinkYWNMSc4pTeaE0N4O8m2uIs4cu2Ib4gqLM3MSiyniQTfFgm4wJqwAAhl4yyA</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Two models for the homotopy theory of $\infty$-operads</title><source>arXiv.org</source><creator>Chu, Hongyi ; Haugseng, Rune ; Heuts, Gijs</creator><creatorcontrib>Chu, Hongyi ; Haugseng, Rune ; Heuts, Gijs</creatorcontrib><description>Journal of Topology 11(4) (2018) 856-872 We compare two models for $\infty$-operads: the complete Segal operads of
Barwick and the complete dendroidal Segal spaces of Cisinski and Moerdijk.
Combining this with comparison results already in the literature, this implies
that all known models for $\infty$-operads are equivalent - for instance, it
follows that the homotopy theory of Lurie's $\infty$-operads is equivalent to
that of dendroidal sets and that of simplicial operads.</description><identifier>DOI: 10.48550/arxiv.1606.03826</identifier><language>eng</language><subject>Mathematics - Algebraic Topology ; Mathematics - Category Theory</subject><creationdate>2016-06</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,777,882</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1606.03826$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.1112/topo.12071$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.1606.03826$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Chu, Hongyi</creatorcontrib><creatorcontrib>Haugseng, Rune</creatorcontrib><creatorcontrib>Heuts, Gijs</creatorcontrib><title>Two models for the homotopy theory of $\infty$-operads</title><description>Journal of Topology 11(4) (2018) 856-872 We compare two models for $\infty$-operads: the complete Segal operads of
Barwick and the complete dendroidal Segal spaces of Cisinski and Moerdijk.
Combining this with comparison results already in the literature, this implies
that all known models for $\infty$-operads are equivalent - for instance, it
follows that the homotopy theory of Lurie's $\infty$-operads is equivalent to
that of dendroidal sets and that of simplicial operads.</description><subject>Mathematics - Algebraic Topology</subject><subject>Mathematics - Category Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzNDMw0zMwtjAy42QwCynPV8jNT0nNKVZIyy9SKMlIVcjIz80vyS-oBHHyiyoV8tMUVGIy89JKKlV08wtSixJTinkYWNMSc4pTeaE0N4O8m2uIs4cu2Ib4gqLM3MSiyniQTfFgm4wJqwAAhl4yyA</recordid><startdate>20160613</startdate><enddate>20160613</enddate><creator>Chu, Hongyi</creator><creator>Haugseng, Rune</creator><creator>Heuts, Gijs</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20160613</creationdate><title>Two models for the homotopy theory of $\infty$-operads</title><author>Chu, Hongyi ; Haugseng, Rune ; Heuts, Gijs</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_1606_038263</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Mathematics - Algebraic Topology</topic><topic>Mathematics - Category Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Chu, Hongyi</creatorcontrib><creatorcontrib>Haugseng, Rune</creatorcontrib><creatorcontrib>Heuts, Gijs</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Chu, Hongyi</au><au>Haugseng, Rune</au><au>Heuts, Gijs</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Two models for the homotopy theory of $\infty$-operads</atitle><date>2016-06-13</date><risdate>2016</risdate><abstract>Journal of Topology 11(4) (2018) 856-872 We compare two models for $\infty$-operads: the complete Segal operads of
Barwick and the complete dendroidal Segal spaces of Cisinski and Moerdijk.
Combining this with comparison results already in the literature, this implies
that all known models for $\infty$-operads are equivalent - for instance, it
follows that the homotopy theory of Lurie's $\infty$-operads is equivalent to
that of dendroidal sets and that of simplicial operads.</abstract><doi>10.48550/arxiv.1606.03826</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.1606.03826 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_1606_03826 |
| source | arXiv.org |
| subjects | Mathematics - Algebraic Topology Mathematics - Category Theory |
| title | Two models for the homotopy theory of $\infty$-operads |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-17T23%3A53%3A01IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Two%20models%20for%20the%20homotopy%20theory%20of%20$%5Cinfty$-operads&rft.au=Chu,%20Hongyi&rft.date=2016-06-13&rft_id=info:doi/10.48550/arxiv.1606.03826&rft_dat=%3Carxiv_GOX%3E1606_03826%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |