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

Andrés Angel, Hellen Colman, Mark Grant, John Oprea

Research output: Working paper

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.
Original languageEnglish
PublisherArXiv
Number of pages14
Publication statusSubmitted - 14 Aug 2019

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Lusternik-Schnirelmann Category
Topological Complexity
Equivariant
Morita Equivalence
Invariance
Invariant
Homotopy Invariance
Principal Bundle
Orbifold
Group Action
Corollary

Keywords

  • math.AT
  • math.CT

Cite this

Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity. / Angel, Andrés; Colman, Hellen; Grant, Mark; Oprea, John.

ArXiv, 2019.

Research output: Working paper

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