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math.AT2020★ 3 cited
Orbifold bordism and duality for finite orbispectra
John Pardon
We construct the stable (representable) homotopy category of finite orbispectra, whose objects are formal desuspensions of finite orbi-CW-pairs by vector bundles and whose morphism…
math.AT2019★ 12 cited
Enough vector bundles on orbispaces
John Pardon
We show that every orbispace satisfying certain mild hypotheses has 'enough' vector bundles. It follows that the K-theory of finite rank vector bundles on such orbispaces is a coho…