A Structure Theorem for RO(C2)-graded Cohomology
| dc.contributor.advisor | Dugger, Daniel | |
| dc.contributor.author | May, Clover | |
| dc.date.accessioned | 2018-09-06T21:56:46Z | |
| dc.date.available | 2018-09-06T21:56:46Z | |
| dc.date.issued | 2018-09-06 | |
| dc.description.abstract | Let C2 be the cyclic group of order two. We present a structure theorem for the RO(C2)-graded Bredon cohomology of C2-spaces using coefficients in the constant Mackey functor F2. We show that, as a module over the cohomology of the point, the RO(C2)-graded cohomology of a finite C2-CW complex decomposes as a direct sum of two basic pieces: shifted copies of the cohomology of a point and shifted copies of the cohomologies of spheres with the antipodal action. The shifts are by elements of RO(C2) corresponding to actual (i.e. non-virtual) C2-representations. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1794/23748 | |
| dc.language.iso | en_US | |
| dc.publisher | University of Oregon | |
| dc.rights | All Rights Reserved. | |
| dc.title | A Structure Theorem for RO(C2)-graded Cohomology | |
| dc.type | Electronic Thesis or Dissertation | |
| thesis.degree.discipline | Department of Mathematics | |
| thesis.degree.grantor | University of Oregon | |
| thesis.degree.level | doctoral | |
| thesis.degree.name | Ph.D. |
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