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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

We construct Power operations in the K"unneth spectral sequence and the C2 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 Einfty ring maps. The operations in the C2-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 · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th 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 (16th 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 (7th 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

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