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Infinite Loop G-Spaces Associated to Monoidal G-Graded Categories
We construct a functor KG which takes each pair of monoidal G-graded categories (D,Df) to an infinite loop G-space KG(D,D'). When D'=D, its homotopy groups n%KG(D,D) coincide with the equivariant…
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Homology and cohomology via enriched bifunctors
We show that the category of numerically generated pointed spaces is complete, cocomplete, and monoidally closed with respect to the smash product, and then utilize these features to establish a…
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Delooping symmetric monoidal categories
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Universal equivariant bundles
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A model structure on the category of diffeological spaces
We construct a model category structure on the category of diffeological spaces which is Quillen equivalent to the model structure on the category of topological spaces based on the notions of Serre…
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A note on $\Gamma\sb G$-spaces
On homotopy types of diffeological cell complexes
We introduce the notion of smooth cell complexes and its subclass consisting of gathered cell complexes within the category of diffeological spaces (cf. Definitions 1 and 3). It is shown that the…
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Mackey systems of monoidal categories and G-spectra
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Note on the Equivariant K -Theory Spectrum
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Mackey structures on equivariant algebraic K-theory
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