Year: 2012
Type: article
Abstract: We define and study an equivariant version of Farber's topological complexity for spaces with a given compact group action.This is a special case of the equivariant sectional category of an equivariant map, also defined in this paper.The relationship of these invariants with the equivariant Lusternik-Schnirelmann category is given.Several examples and computations serve to highlight the similarities and differences with the nonequivariant case.We also indicate how the equivariant topological complexity can be used to give estimates of the nonequivariant topological complexity.
Source: Algebraic & Geometric Topology
Authors: Hellen Colman, Mark Grant
Institutions: Wilbur Wright College, University of Nottingham
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2116050295