(Montana State University - Bozeman, College of Letters & Science, 2019) Cepek, Anna Beth; Chairperson, Graduate Committee: David Ayala; Jaroslaw Kwapisz (co-chair)
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.
