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Author ORCID Identifier
https://orcid.org/0009-0001-6787-1447
Date Available
4-18-2026
Year of Publication
2026
Document Type
Doctoral Dissertation
Degree Name
Doctor of Philosophy (PhD)
College
Arts and Sciences
Department/School/Program
Mathematics
Faculty
Bertrand Guillou
Abstract
We generalize the stripping process to the (mod 2) $\mathbb{C}$- and $\mathbb{R}$-motivic settings. Throughout, we include discussion on how the process changes and the difficulties moving to more general settings. We also introduce antipodes and consider what a potential $\mathbb{R}$-motivic analogue may look like. Finally, we elaborate on how the results may be used in future work to generalize a nilpotence result of Walker and Wood.
Digital Object Identifier (DOI)
https://doi.org/10.13023/etd.2026.100
Archival?
Archival
Funding Information
This work was supported by a summer research fellowship from the University of Kentucky mathematics department in 2024.
Recommended Citation
Peterson, Joshua A., "On Stripping and Antipodes in Motivic Steenrod Algebras" (2026). Theses and Dissertations--Mathematics. 125.
https://uknowledge.uky.edu/math_etds/125
