2019/08/14 by Andrés Ángel, Angel, Andrés, Hellen Colman +6 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1908.04949
openalex publication_date 2019/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.