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Injective braids, braided operads and double loop spaces

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dc.contributor.author Solberg, Mirjam eng
dc.date.accessioned 2012-04-24T07:29:19Z
dc.date.available 2012-04-24T07:29:19Z
dc.date.issued 2011-06-01 eng
dc.date.submitted 2011-06-01 eng
dc.identifier.uri http://hdl.handle.net/1956/5766
dc.description.abstract We construct the category of B-spaces, which is a braided monoidal diagram category. This category is Quillen equivalent to the category of simplicial sets. The induced equivalence of homotopy categories maps a commutative B-spaces monoid to a space that is weakly equivalent to a double loop space, if it is connected. If X is a connected space, we find a commutative B-space monoid, such that the homotopy colimit of it is weakly equivalent to doubleloops(doublesuspension(X)). Similarly we find a commutative B-space monoid that represents the nerve of a braided strict monoidal category. en
dc.format.extent 775713 bytes eng
dc.format.mimetype application/pdf eng
dc.language.iso eng eng
dc.publisher The University of Bergen eng
dc.title Injective braids, braided operads and double loop spaces eng
dc.type Master thesis eng
dc.type.degree Master nob
dc.type.course MAT399 eng
dc.subject.nsi VDP::Mathematics and natural science: 400::Mathematics: 410 eng
dc.subject.nsi VDP::Mathematics and natural science: 400::Mathematics: 410::Topology/geometry: 415 eng
dc.subject.archivecode Mastergrad eng
dc.subject.nus 753199 eng
dc.type.program MAMN-MAT eng


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