Chairperson, Graduate Committee: David Ayala; Jaroslaw Kwapisz (co-chair)Cepek, Anna Beth2019-08-302019-08-302019https://scholarworks.montana.edu/handle/1/15527We 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.enCategories (Mathematics)TopologyConfiguration spaceGroup theoryDissertationCopyright 2019 by Anna Beth Cepek