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.identifier.uri |
https://scholarsbank.uoregon.edu/xmlui/handle/1794/24925 |
|
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.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.name |
Ph.D. |
|
thesis.degree.level |
doctoral |
|
thesis.degree.discipline |
Department of Mathematics |
|
thesis.degree.grantor |
University of Oregon |
|