On topological groups of monotonic autohomeomorphisms

• Buzyakova, Raushan ^[1]
  1. [1] Polk State College

     Polk State College

     Estados Unidos

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 25, Nº. 1, 2024, págs. 229-235
• Idioma: inglés
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• Resumen

  • We study topological groups of monotonic autohomeomorphisms on a generalized ordered space L. We find a condition that is necessary and sufficient for the set of all monotonic autohomeomorphism on L along with the function composition and the topology of point-wise convergence to be a topological group.