Browsing by Author "Raies, Daniel"

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    Mackey Functors over the Group Z/2 and Computations in Homological Algebra
    (University of Oregon, 2019-09-18) Raies, Daniel; Dugger, Daniel
    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.