On configuration categories
dc.contributor.advisor | Chairperson, Graduate Committee: David Ayala; Jaroslaw Kwapisz (co-chair) | en |
dc.contributor.author | Cepek, Anna Beth | en |
dc.date.accessioned | 2019-08-30T19:53:43Z | |
dc.date.available | 2019-08-30T19:53:43Z | |
dc.date.issued | 2019 | en |
dc.description.abstract | We approach manifold topology by examining configurations of finite subsets of manifolds within the homotopy-theoretic context of infinity-categories by way of stratified spaces. Through these higher categorical means, we identify the homotopy types of such configuration spaces in the case of the circle and Euclidean space. | en |
dc.identifier.uri | https://scholarworks.montana.edu/handle/1/15527 | en |
dc.language.iso | en | en |
dc.publisher | Montana State University - Bozeman, College of Letters & Science | en |
dc.rights.holder | Copyright 2019 by Anna Beth Cepek | en |
dc.subject.lcsh | Categories (Mathematics) | en |
dc.subject.lcsh | Topology | en |
dc.subject.lcsh | Configuration space | en |
dc.subject.lcsh | Group theory | en |
dc.title | On configuration categories | en |
dc.type | Dissertation | en |
mus.data.thumbpage | 21 | en |
thesis.degree.committeemembers | Members, Graduate Committee: Ryan Grady; Tomas Gedeon; Lukas Geyer. | en |
thesis.degree.department | Mathematical Sciences. | en |
thesis.degree.genre | Dissertation | en |
thesis.degree.name | PhD | en |
thesis.format.extentfirstpage | 1 | en |
thesis.format.extentlastpage | 121 | en |
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