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dc.contributor.authorCao, J
dc.date.accessioned2012-03-28T23:53:59Z
dc.date.available2012-03-28T23:53:59Z
dc.date.copyright2008-06-02
dc.date.issued2012-03-29
dc.identifier.citationAnalysis, Topology and Applications, May 30th to June 4th 2008 Vrnjacka Banja, Serbia
dc.identifier.urihttp://hdl.handle.net/10292/3533
dc.description.abstractA topologized group is simply a group (G, ·) equipped with a topology t. The question as to when a topologized group (G, ·, t) is a topological group has been studied by many authors in the literature. In the recent work of A. V. Arhangel'skii and E. A. Reznichenko in 2005, and S. Ferri, S. Hernandez and T. S. Wu in 2006, certain types of weak continuity properties are employed either implicitly or explicitly. In this talk, I shall analyze various types of weak continuity properties of group operations. As an application, it is shown that if (G, ·, t) is a right (resp. left) semitopological group with a regular topology such that dev(G) < Nov(G) and all left (resp. right) translations are feebly continuous, then (G, ·, t) is a topological group.
dc.format.extent40 minutes
dc.publisherAUT University
dc.relation.urihttp://atlas-conferences.com/cgi-bin/abstract/cawq-20
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in (see Citation). The original publication is available at (see Publisher's Version)
dc.titleWeak continuity properties of topologized groups
dc.typeConference Contribution
dc.rights.accessrightsOpenAccess
aut.target-audienceResearch mathematicians and postgraduate students in analysis and topology
aut.venueVrnjacka Banja
aut.venue-locationSerbia


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