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math.ATMay 31, 2011
9
citations (OpenAlex)
authors
  • Paul Fabel
arXiv abstractPDF
paper

Compactly generated quasitopological homotopy groups with discontinuous multiplication

arXiv:1105.6363

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).

7 pages

Cited by in corpus (3)

  • The fundamental group as a topological group
  • On the discontinuity of the π1​-action
  • On zero dimensional sequential spaces
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