In this thesis, we advocate for the use of slice spheres, a common generalization of representation spheres and induced spheres, in parameterized homotopy theory. First, we give an algebraic characterization of the layers of the Hill-Hopkins-Ravenel slice filtration. Next, we explore the homology of parameterized symmetric powers from this point of view. Finally, we indicate some interactions with chromatic homotopy theory.

Last modified

• 03/30/2018

Creator

• Dylan Wilson

DOI

• https://doi.org/10.21985/N26H42

Subject

• Mathematics

Keyword

• equivariant
• chromatic
• homotopy theory

Date created

• 2017-01-01

Resource type

• Dissertation

Rights statement

• In Copyright