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https://hdl.handle.net/2440/109766
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DC Field | Value | Language |
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dc.contributor.author | Stevenson, D. | en |
dc.date.issued | 2017 | en |
dc.identifier.citation | North-Western European Journal of Mathematics, 2017; 3:141-202 | en |
dc.identifier.issn | 2496-5170 | en |
dc.identifier.uri | http://hdl.handle.net/2440/109766 | - |
dc.description.abstract | In this paper we prove that for any simplicial set B, there is a Quillen equiv- alence between the covariant model structure on S/B and a certain localization of the projective model structure on the category of simplicial presheaves on the simplex category ∆/B of B. We extend this result to give a new Quillen equivalence between this covariant model structure and the projective model structure on the category of simplicial presheaves on the simplicial category C[B]. We study the relationship with Lurie’s straightening theorem. Along the way we also prove some results on localizations of simplicial categories and quasi-categories. | en |
dc.description.statementofresponsibility | Danny Stevenson | en |
dc.language.iso | en | en |
dc.publisher | Laboratoire Paul Painlevé | en |
dc.rights | Authors keep their copyrights. Thus they can reuse figures, article parts or any material they need for subsequent work. The contract license is the Creative Commons License CC-BY which is the most flexible contract maximising the readership on publication. | en |
dc.source.uri | http://math.univ-lille1.fr/~nwejm/OnlinePapers/Archives/Archives.php | en |
dc.subject | Quasi-categories; Left fibrations; covariant model structure; simplicial categories; simplicial localization | en |
dc.title | Covariant model structures and simplicial localization | en |
dc.type | Journal article | en |
dc.relation.grant | http://purl.org/au-research/grants/arc/DP120100106 | en |
pubs.publication-status | Published | en |
dc.identifier.orcid | Stevenson, D. [0000-0003-4399-7632] | en |
Appears in Collections: | Aurora harvest 3 Mathematical Sciences publications |
Files in This Item:
File | Description | Size | Format | |
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hdl_109766.pdf | Published version | 561.67 kB | Adobe PDF | View/Open |
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