A model structure via orbit spaces for equivariant homotopy

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buir.contributor.authorErdal, Mehmet Akif
buir.contributor.authorGüçlükan İlhan, Aslı
dc.citation.epage1141en_US
dc.citation.issueNumber4en_US
dc.citation.spage1131en_US
dc.citation.volumeNumber14en_US
dc.contributor.authorErdal, Mehmet Akifen_US
dc.contributor.authorGüçlükan İlhan, Aslıen_US
dc.date.accessioned2020-02-20T11:33:00Z
dc.date.available2020-02-20T11:33:00Z
dc.date.issued2019-06-26
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractLet G be discrete group and FF be a collection of subgroups of G. We show that there exists a left induced model structure on the category of right G-simplicial sets, in which the weak equivalences and cofibrations are the maps that induce weak equivalences and cofibrations on H-orbits for all H in FF. This gives a model categorical criterion for maps that induce weak equivalences on H-orbits to be weak equivalences in the FF-model structure.en_US
dc.identifier.doi10.1007/s40062-019-00241-4en_US
dc.identifier.eissn1512-2891
dc.identifier.issn2193-8407
dc.identifier.urihttp://hdl.handle.net/11693/53452
dc.language.isoEnglishen_US
dc.publisherSpringeren_US
dc.relation.isversionofhttps://dx.doi.org/10.1007/s40062-019-00241-4en_US
dc.source.titleJournal of Homotopy and Related Structuresen_US
dc.subjectEquivariant homotopyen_US
dc.subjectOrbit spaceen_US
dc.subjectModel structureen_US
dc.titleA model structure via orbit spaces for equivariant homotopyen_US
dc.typeArticleen_US

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