Access Type
Open Access Dissertation
Date of Award
January 2013
Degree Type
Dissertation
Degree Name
Ph.D.
Department
Mathematics
First Advisor
Robert R. Bruner
Abstract
We construct Power operations in the K"unneth spectral sequence and the $C_2$ equivariant Adams spectral sequence. While the operations in the K"unneth spectral sequence are 0 in $Tor$, they still detect operations in the target of the spectral sequence. We then interpret these computations of the homotopy of relative smash products as being related to obstructions to having $E_infty$ ring maps. The operations in the $C_2$-equivariant Adams spectral sequence are a partial extension of the work of Bruner in cite{HRS} and have applications to motivic homotopy theory.
Recommended Citation
Tilson, Sean Michael, "Power Operations In The Kunneth And C_2-Equivariant Adams Spectral Sequences With Applications" (2013). Wayne State University Dissertations. 800.
https://digitalcommons.wayne.edu/oa_dissertations/800