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

Andrés Angel* (Corresponding Author), Hellen Colman, Mark Grant, John Oprea

*Corresponding author for this work

Research output: Contribution to journalArticle

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
Pages (from-to)179-195
Number of pages14
JournalTheory and Applications of Categories
Volume35
Issue number7
Publication statusPublished - 18 Feb 2020

Keywords

  • math.AT
  • math.CT
  • Lusternik-Schnirelmann category
  • Topological complexity

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