Some properties of o-bounded and strictly o-bounded groups

• Hernández, C. ^[1] ; Tkachenko, M. ^[1] ; Robbie, D. ^[2]
  1. [1] Universidad Autónoma Metropolitana

     Universidad Autónoma Metropolitana

     México

     
  2. [2] University of Melbourne

     University of Melbourne

     Australia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 1, Nº. 1, 2000, págs. 29-43
• Idioma: inglés
• DOI: 10.4995/agt.2000.3022
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• Resumen

  • We continue the study of (strictly) o-bounded topological groups initiated by the first listed author and solve two problems posed earlier. It is shown here that the product of a Comfort-like topological group by a (strictly) o-bounded group is (strictly) o-bounded. Some non-trivial examples of strictly o-bounded free topological groups are given. We also show that o-boundedness is not productive, and strict o-boundedness cannot be characterized by means of second countable continuous homomorphic images.