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G-category versus orbifold category

2022/08/26 by Andrés Ángel, Angel, Andres, Hellen Colman +1
Mathematics · Medicine · #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2208.12882

Abstract

We present a comparative study of certain invariants defined for group actions and their analogues defined for orbifolds. In particular, we prove that Fadell's equivariant category for G-spaces coincides with the Lusternik-Schnirelmann category for orbifolds when the group is finite.

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