Morita invariance of equivariant Lusternik-Schnirelmann category and invariant 
topological complexity

Angel, A.; Colman, Hellen; Grant, Mark; Oprea, John

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Morita invariance of equivariant Lusternik-Schnirelmann category and invariant topological complexity

MPS-Authors

/persons/resource/persons256248

Angel, A.
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

http://www.tac.mta.ca/tac/volumes/35/7/35-07.pdf
(Publisher version)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

Angel-Colman-Grant-Oprea_Morita invariance of equivariant Lusternik-Schnirelmann category and invariant topological complexity_2020.pdf
(Publisher version), 377KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Angel, A., Colman, H., Grant, M., & Oprea, J. (2020). Morita invariance of equivariant Lusternik-Schnirelmann category and invariant topological complexity. Theory and Applications of Categories, 35(7), 179-195.

Cite as: https://hdl.handle.net/21.11116/0000-0007-D98E-5

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.