Mackey Functors over the Group Z/2 and Computations in Homological Algebra

dc.contributor.advisorDugger, Daniel
dc.contributor.authorRaies, Daniel
dc.date.accessioned2019-09-18T19:28:57Z
dc.date.available2019-09-18T19:28:57Z
dc.date.issued2019-09-18
dc.description.abstractMackey 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.urihttps://hdl.handle.net/1794/24925
dc.language.isoen_US
dc.publisherUniversity of Oregon
dc.rightsAll Rights Reserved.
dc.subjectBredon Cohomologyen_US
dc.subjectHomological Algebraen_US
dc.subjectHomotopy Theoryen_US
dc.subjectMackey Functorsen_US
dc.titleMackey Functors over the Group Z/2 and Computations in Homological Algebra
dc.typeElectronic Thesis or Dissertation
thesis.degree.disciplineDepartment of Mathematics
thesis.degree.grantorUniversity of Oregon
thesis.degree.leveldoctoral
thesis.degree.namePh.D.

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