G-category versus orbifold category
Copyright policy )G-category versus orbifold category
We present a comparative study of certain invariants defined for group actions and their analogues defined for orbifolds. In particular, we prove that Fadell's equivariant category for $G$-spaces coincides with the Lusternik-Schnirelmann category for orbifolds when the group is finite.
\(G\)-spaces, Hilsum-Skandalis maps, Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects), FOS: Physical sciences, Lusternik-Schnirelman category, path groupoid, Mathematical Physics (math-ph), Variational aspects of group actions in infinite-dimensional spaces, Equivariant fiber spaces and bundles in algebraic topology, FOS: Mathematics, Group actions and symmetry properties, Algebraic Topology (math.AT), orbifolds, Mathematics - Algebraic Topology, Groupoids, semigroupoids, semigroups, groups (viewed as categories), Mathematical Physics, Topological groupoids (including differentiable and Lie groupoids), Equivariant homotopy theory in algebraic topology, Loop spaces
\(G\)-spaces, Hilsum-Skandalis maps, Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects), FOS: Physical sciences, Lusternik-Schnirelman category, path groupoid, Mathematical Physics (math-ph), Variational aspects of group actions in infinite-dimensional spaces, Equivariant fiber spaces and bundles in algebraic topology, FOS: Mathematics, Group actions and symmetry properties, Algebraic Topology (math.AT), orbifolds, Mathematics - Algebraic Topology, Groupoids, semigroupoids, semigroups, groups (viewed as categories), Mathematical Physics, Topological groupoids (including differentiable and Lie groupoids), Equivariant homotopy theory in algebraic topology, Loop spaces
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