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 | https://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_US |
dc.format.extent | 775713 bytes | eng |
dc.format.mimetype | application/pdf | eng |
dc.language.iso | eng | eng |
dc.publisher | The University of Bergen | en_US |
dc.title | Injective braids, braided operads and double loop spaces | en_US |
dc.type | Master thesis | |
dc.description.localcode | MAMN-MAT | |
dc.description.localcode | MAT399 | |
dc.subject.nus | 753199 | eng |
dc.subject.nsi | VDP::Mathematics and natural science: 400::Mathematics: 410 | en_US |
dc.subject.nsi | VDP::Mathematics and natural science: 400::Mathematics: 410::Topology/geometry: 415 | en_US |
fs.subjectcode | MAT399 | |