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arXiv · 1908.04949

Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity

Andrés Angel·Hellen Colman·Mark Grant·John Oprea
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Abstract

We use the homotopy invariance of equivariant principal bundles to prove that the equivariant ${\mathcal A}$-category of Clapp and Puppe is invariant under Morita equivalence. As a corollary, we obtain that both the equivariant Lusternik-Schnirelmann category of a group action and the invariant topological complexity are invariant under Morita equivalence. This allows a definition of topological complexity for orbifolds.

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Andrés Angel, Hellen Colman, Mark Grant, John Oprea. 2019-08-14. Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity. https://arxiv.org/abs/1908.04949

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