Non-symmetric convergence and regularity

• Jäger, Gunther ^[1]
  1. [1] University of Applied Sciences Stralsund
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 26, Nº. 1, 2025, págs. 447-467
• Idioma: inglés
• DOI: 10.4995/agt.2025.22432
• Enlaces
  • Texto completo
• Resumen

  • We study regularity in quasi-convergence spaces and biconvergence spaces. We show that a notion weaker than the usually considered pairwise regularity is sufficient in important applications. This regularity can be defined in terms of closures of pair filters or by a diagonal condition. We show its appropriateness by characterizing it in terms of continuous convergence and in terms of extensions of continuous mappings.

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