Geodesic
Morita invariance of equivariant Lusternik-Schnirelmann category and invariant topological complexity
Theory and applications of categories, Tome 35 (2020), pp. 179-195.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We use the homotopy invariance of equivariant principal bundles to prove that the equivariant 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.
Publié le :
Classification : 55M30, 55R91
Keywords: Topological complexity, Lusternik-Schnirelmann category 
@article{TAC_2020_35_a6,
     author = {A. Angel and H. Colman and M. Grant and J. Oprea},
     title = {Morita invariance of
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     journal = {Theory and applications of categories},
     pages = {179--195},
     publisher = {mathdoc},
     volume = {35},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2020_35_a6/}
}
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A. Angel; H. Colman; M. Grant; J. Oprea. Morita invariance of
equivariant Lusternik-Schnirelmann category and  invariant topological complexity. Theory and applications of categories, Tome 35 (2020), pp. 179-195. http://geodesic.mathdoc.fr/item/TAC_2020_35_a6/