Cauchy G-spaces: Local convexity

• Losert, Bernd ^[2] ; Richardson, Gary ^[1]
  1. [1] University of Central Florida

     University of Central Florida

     Estados Unidos

     
  2. [2] Researcher
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 26, Nº. 1, 2025, págs. 575-591
• Idioma: inglés
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• Resumen

  • Cauchy continuous actions of a Cauchy monoid acting on a locally convex Cauchy space X are investigated. The local convexity is determined by a partial order on X. Sufficient conditions are given to ensure the existence of a Hausdorff Cauchy space completion T for which the Cauchy continuous action can be appropriately extended to T.