\(G\)-category versus orbifold category

DOI10.12775/tmna.2022.055zbMath1520.55005arXiv2208.12882OpenAlexW4322495604MaRDI QIDQ6044506

Hellen Colman, Andrés Ángel

Publication date: 19 May 2023

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.12882

zbMATH Keywords

orbifolds\(G\)-spacesLusternik-Schnirelman categoryHilsum-Skandalis mapspath groupoid

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Loop spaces (55P35) Group actions and symmetry properties (58D19) Topological groupoids (including differentiable and Lie groupoids) (22A22) Equivariant homotopy theory in algebraic topology (55P91) Variational aspects of group actions in infinite-dimensional spaces (58E40) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (1)

Free and based path groupoids

Cites Work

• Orbifolds, sheaves and groupoids
• A G-Lusternik-Schnirelmann category of space with an action of a compact Lie group
• ON A GENERALIZATION OF THE NOTION OF MANIFOLD
• Translation Groupoids and Orbifold Cohomology
• Invariants of the Lusternik-Schnirelmann Type and the Topology of Critical Sets
• Enough vector bundles on orbispaces
• Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity
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