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Wayne State University

1. Tilson, Sean Michael. Power Operations In The Kunneth And C_2-Equivariant Adams Spectral Sequences With Applications.

Degree: PhD, Mathematics, 2013, Wayne State University

URL: https://digitalcommons.wayne.edu/oa_dissertations/800

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.
*Advisors/Committee Members: Robert R. Bruner.*

Subjects/Keywords: Dyer-Lashof; power operations; ring spectra; spectral sequence; stable homotopy; Mathematics

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APA (6^{th} Edition):

Tilson, S. M. (2013). Power Operations In The Kunneth And C_2-Equivariant Adams Spectral Sequences With Applications. (Doctoral Dissertation). Wayne State University. Retrieved from https://digitalcommons.wayne.edu/oa_dissertations/800

Chicago Manual of Style (16^{th} Edition):

Tilson, Sean Michael. “Power Operations In The Kunneth And C_2-Equivariant Adams Spectral Sequences With Applications.” 2013. Doctoral Dissertation, Wayne State University. Accessed July 08, 2020. https://digitalcommons.wayne.edu/oa_dissertations/800.

MLA Handbook (7^{th} Edition):

Tilson, Sean Michael. “Power Operations In The Kunneth And C_2-Equivariant Adams Spectral Sequences With Applications.” 2013. Web. 08 Jul 2020.

Vancouver:

Tilson SM. Power Operations In The Kunneth And C_2-Equivariant Adams Spectral Sequences With Applications. [Internet] [Doctoral dissertation]. Wayne State University; 2013. [cited 2020 Jul 08]. Available from: https://digitalcommons.wayne.edu/oa_dissertations/800.

Council of Science Editors:

Tilson SM. Power Operations In The Kunneth And C_2-Equivariant Adams Spectral Sequences With Applications. [Doctoral Dissertation]. Wayne State University; 2013. Available from: https://digitalcommons.wayne.edu/oa_dissertations/800