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.

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