English

Equivariant topological complexities

Algebraic Topology 2017-09-05 v1

Abstract

The aim of this article is to review different generalizations of the the notion of topological complexity to the equivariant setting. In particular, we review the relation (or non-relation) between these notions and the topological complexity of the quotient space and the topological complexity of the fixed point sets. We give examples of calculations and stress the question: When the action is free, do we recover the topological complexity of the quotient?

Keywords

Cite

@article{arxiv.1709.00642,
  title  = {Equivariant topological complexities},
  author = {Andres Angel and Hellen Colman},
  journal= {arXiv preprint arXiv:1709.00642},
  year   = {2017}
}
R2 v1 2026-06-22T21:31:34.065Z