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

Constancio Hernández, D. Robbie, Mikhail Tkachenko

Abstract

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.

 


Keywords

o-bounded group ; Strictly o-bounded group ; Comfort-like group

Subject classification

54H11; 22A05; 22D05; 54C50

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Cited-By (articles included in Crossref)

This journal is a Crossref Cited-by Linking member. This list shows the references that citing the article automatically, if there are. For more information about the system please visit Crossref site

1. The character of free topological groups II
Peter Nickolas, Mikhail Tkachenko
Applied General Topology  vol: 6  issue: 1  first page: 43  year: 2005  
doi: 10.4995/agt.2005.1962



Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt