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Mackey group categories and their simple functors
(Bilkent University, 2012)
Constructing the Mackey group category M using axioms which are reminiscent
of fusion systems, the simple RM-functors (the simple functors from the R-linear
extension of M to R-modules, where R is a commutative ring) can ...
Projective resolutions over EI-categories
(Bilkent University, 2012)
Representations of EI-categories occur naturally in algebraic K-theory and algebraic
topology (see [4], [10], [12]). In this thesis, we study EI-category representations
with finite projective dimension. We apply this ...