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http://hdl.handle.net/2445/194371
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DC Field | Value | Language |
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dc.contributor.author | Gutiérrez Marín, Javier J. | - |
dc.contributor.author | White, David | - |
dc.date.accessioned | 2023-03-01T10:49:26Z | - |
dc.date.available | 2023-03-01T10:49:26Z | - |
dc.date.issued | 2018 | - |
dc.identifier.issn | 1472-2747 | - |
dc.identifier.uri | http://hdl.handle.net/2445/194371 | - |
dc.description.abstract | We prove a conjecture of Blumberg and Hill regarding the existence of $N_{\infty}$-operads associated to given sequences $\mathcal{F}=\left(\mathcal{F}_n\right)_{n \in \mathbb{N}}$ of families of subgroups of $G \times \Sigma_n$. For every such sequence, we construct a model structure on the category of $G-$ operads, and we use these model structures to define $E_{\infty}^{\mathcal{F}}$-operads, generalizing the notion of an $N_{\infty}$-operad, and to prove the Blumberg-Hill conjecture. We then explore questions of admissibility, rectification, and preservation under left Bousfield localization for these $E_{\infty}^{\mathcal{F}}$-operads, obtaining some new results as well for $N_{\infty}^{-}$ operads. | - |
dc.format.extent | 44 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Mathematical Sciences Publishers | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.2140/agt.2018.18.2919 | - |
dc.relation.ispartof | Algebraic and Geometric Topology, 2018, vol. 18, num. 5, p. 2919-2962 | - |
dc.relation.uri | https://doi.org/10.2140/agt.2018.18.2919 | - |
dc.rights | (c) Mathematical Sciences Publishers, 2018 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Teoria de l'homotopia | - |
dc.subject.classification | Teoria de models | - |
dc.subject.other | Homotopy theory | - |
dc.subject.other | Model theory | - |
dc.title | Encoding equivariant commutativity via operads | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 682239 | - |
dc.date.updated | 2023-03-01T10:49:26Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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682239.pdf | 550.38 kB | Adobe PDF | View/Open |
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