The convergence space of minimal usco mappings

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dc.contributor.author Anguelov, Roumen
dc.contributor.author Kalenda, O.F.K.
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


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