Weak continuity properties of topologized groups
| aut.researcher | Cao, Jiling | |
| aut.target-audience | Research mathematicians and postgraduate students in analysis and topology | |
| aut.venue | Vrnjacka Banja | |
| aut.venue-location | Serbia | |
| dc.contributor.author | Cao, J | |
| dc.date.accessioned | 2012-03-28T23:53:59Z | |
| dc.date.available | 2012-03-28T23:53:59Z | |
| dc.date.copyright | 2008-06-02 | |
| dc.date.issued | 2008-06-02 | |
| dc.description.abstract | A 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.extent | 40 minutes | |
| dc.identifier.citation | Analysis, Topology and Applications, May 30th to June 4th 2008 Vrnjacka Banja, Serbia | |
| dc.identifier.uri | https://hdl.handle.net/10292/3533 | |
| dc.publisher | AUT University | |
| dc.relation.uri | http://atlas-conferences.com/cgi-bin/abstract/cawq-20 | |
| dc.rights | NOTICE: 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.rights.accessrights | OpenAccess | |
| dc.title | Weak continuity properties of topologized groups | |
| dc.type | Conference Contribution | |
| pubs.organisational-data | /AUT | |
| pubs.organisational-data | /AUT/Design & Creative Technologies | |
| pubs.organisational-data | /AUT/Design & Creative Technologies/School of Computing & Mathematical Science | |
| pubs.organisational-data | /AUT/PBRF Researchers | |
| pubs.organisational-data | /AUT/PBRF Researchers/Design & Creative Technologies PBRF Researchers | |
| pubs.organisational-data | /AUT/PBRF Researchers/Design & Creative Technologies PBRF Researchers/DCT C & M Mathematical Science |