Mackey Functors over the Group Z/2 and Computations in Homological Algebra
dc.contributor.advisor | Dugger, Daniel | |
dc.contributor.author | Raies, Daniel | |
dc.date.accessioned | 2019-09-18T19:28:57Z | |
dc.date.available | 2019-09-18T19:28:57Z | |
dc.date.issued | 2019-09-18 | |
dc.description.abstract | Mackey functors over the group Z/2 are useful in the study of Z/2-equivariant cohomology. In this dissertation we establish results which are useful for homological algebra computations for certain Mackey rings over Z/2. We also provide some Ext computations for Mackey modules over Mackey rings. Additionally, we study the bigraded ring M_2 (which is the Bredon cohomology of a point) and its Mackey ring analog. This includes a computation of Ext(k,k) over M_2 and a computation of Ext(M,k) for certain M_2-modules M as well as a proof that the Mackey ring analog is self-injective as a bigraded Mackey ring. | en_US |
dc.identifier.uri | https://hdl.handle.net/1794/24925 | |
dc.language.iso | en_US | |
dc.publisher | University of Oregon | |
dc.rights | All Rights Reserved. | |
dc.subject | Bredon Cohomology | en_US |
dc.subject | Homological Algebra | en_US |
dc.subject | Homotopy Theory | en_US |
dc.subject | Mackey Functors | en_US |
dc.title | Mackey Functors over the Group Z/2 and Computations in Homological Algebra | |
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. |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- Raies_oregon_0171A_12523.pdf
- Size:
- 673.25 KB
- Format:
- Adobe Portable Document Format