English

Compactly generated quasitopological homotopy groups with discontinuous multiplication

Algebraic Topology 2011-06-01 v1

Abstract

For each positive integer Q there exists a path connected metric compactum X such that the Qth-homotopy group of X is compactly generated but not a topological group (with the quotient topology).

Keywords

Cite

@article{arxiv.1105.6363,
  title  = {Compactly generated quasitopological homotopy groups with discontinuous multiplication},
  author = {Paul Fabel},
  journal= {arXiv preprint arXiv:1105.6363},
  year   = {2011}
}

Comments

7 pages

R2 v1 2026-06-21T18:15:34.119Z