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Injective braids, braided operads and double loop spaces

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dc.contributor.author Solberg, Mirjam
dc.date.accessioned 2012-04-24T07:29:19Z
dc.date.available 2012-04-24T07:29:19Z
dc.date.issued 2011-06-01
dc.date.submitted 2011-06-01 en
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 en
dc.format.mimetype application/pdf en
dc.language.iso eng en
dc.publisher The University of Bergen en
dc.title Injective braids, braided operads and double loop spaces en
dc.type Master thesis en
dc.type.degree Master en
dc.type.course MAT399 en
dc.subject.nsi VDP::Mathematics and natural science: 400::Mathematics: 410 en
dc.subject.nsi VDP::Mathematics and natural science: 400::Mathematics: 410::Topology/geometry: 415 en
dc.subject.archivecode Mastergrad en
dc.subject.nus 753199 en
dc.type.program MAMN-MAT en


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