The convergence space of minimal usco mappings
| dc.contributor.author | Anguelov, Roumen | |
| dc.contributor.author | Kalenda, O.F.K. | |
| dc.contributor.email | roumen.anguelov@up.ac.za | en_US |
| dc.date.accessioned | 2010-07-21T06:23:07Z | |
| dc.date.available | 2010-07-21T06:23:07Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | A convergence structure generalizing the order convergence structure on the set of Hausdorff continuous interval functions is defined on the set of minimal usco maps. The properties of the obtained convergence space are investigated and essential links with the pointwise convergence and the order convergence are revealed. The convergence structure can be extended to a uniform convergence structure so that the convergence space is complete. The important issue of the denseness of the subset of all continuous functions is also addressed. | en |
| dc.description.sponsorship | The first author was supported by NRF Research Grant FA200705000002. The second author was supported by Research project MSM 0021620839 financed by MSMT, by Research grant GAˇCR 201/06/0018 and by Universidad Polit´ecnica de Valencia. | en_US |
| dc.identifier.citation | Anguelov, R & Kalenda, O 2009, 'The convergence space of minimal usco mappings', Czechoslovak Mathematical Journal, vol. 59, no. 134, pp. 1-22. [http://www.springerlink.com/content/106594/] | en |
| dc.identifier.issn | 0011-4642 | |
| dc.identifier.uri | http://hdl.handle.net/2263/14510 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.rights | Springer | en_US |
| dc.subject | Minimal usco map | en |
| dc.subject | Convergence space | en |
| dc.subject | Pointwise convergence | en |
| dc.subject | Order convergence | en |
| dc.subject.lcsh | Convergence (Economics) | en |
| dc.subject.lcsh | Mappings (Mathematics) | en |
| dc.title | The convergence space of minimal usco mappings | en |
| dc.type | Postprint Article | en |