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Upper quasi continuous maps and quasi continuous selections

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dc.title Upper quasi continuous maps and quasi continuous selections en
dc.contributor.author Matejdes, Milan
dc.relation.ispartof Czechoslovak Mathematical Journal
dc.identifier.issn 0011-4642 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued 2010
utb.relation.volume 60
utb.relation.issue 153
dc.citation.spage 517
dc.citation.epage 525
dc.type article
dc.language.iso en
dc.publisher Academy of Sciences of the Czech Republic en
dc.identifier.doi 10.1007/s10587-010-0032-4
dc.relation.uri http://www.springerlink.com/content/068417634784wvvg/
dc.subject selektor cs
dc.subject kvázispojitosť cs
dc.subject minimálna usco multihunkcia cs
dc.subject cluster bod cs
dc.subject zovšeobecnená spojitosť cs
dc.subject Selection en
dc.subject quasi continuity en
dc.subject minimal usco multifunction en
dc.subject cluster point en
dc.subject generalized quasi continuity en
dc.description.abstract Práca pojednáva o existencii kvázispojitého selaktora multifunkcie, ktorej horné vzory množín s pompaktným doplnkom majú speciálny tvar. Metódy sú založené na vlastnostiach minimálnej multifunkcie, ktorá je generovaná cluster procesom špeciálnych množín. cs
dc.description.abstract The paper deals with the existence of a quasi continuous selection of a multifunction for which upper inverse image of any open set with compact complement contains a set of the special form.The methods are based on the properties of a minimal multifunction which is generated by a cluster process with respect to a system of subsets of the special form. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1000846
utb.identifier.rivid RIV/70883521:28140/10:63509017!RIV11-MSM-28140___
utb.identifier.obdid 43863948
utb.identifier.scopus 2-s2.0-77953708308
utb.identifier.wok 000278682100017
utb.source j-riv
dc.rights.access openAccess
utb.contributor.internalauthor Matejdes, Milan
utb.fulltext.affiliation Milan Matejdes, Zlín Author’s address: Milan Matejdes, Department of Mathematics, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, 760 05 Zlín, Czech Republic, e-mail: matejdes@fai.utb.cz."
utb.fulltext.dates Received December 19, 2008
utb.fulltext.references [1] J. Cao and W. B. Moors: Quasicontinuous selections of upper continuous set-valued mappings. Real Anal. Exchange 31 (2005–2006), 63–71. [2] L. Drewnowski and I. Labuda: On minimal upper semicontinuous compact valued maps. Rocky Mount. J. Math. 20 (1990), 737–752. [3] D. K. Ganguly and Mitra Chandrani: Some remarks on B∗-continuous functions. Anal. St. Univ. Ali. Cuza, Isai 46 (2000), 331–336. [4] D. K. Ganguly and P. Mallick: On generalized continuous multifunctions and their selections. Real Anal. Exchange 33 (2007/2008), 449–456. [5] L. Holá, V. Baláž and T. Neubrunn: Remarks on c-continuous multifunctions. Acta Math. Univ. Comeniana L-LI (1987), 51–59. [6] L. Holá and D. Holý: Minimal usco maps, densely continuous forms and upper semicontinuous functions. Rocky Mount. J. Math. 39 (2009), 545–562. [7] D. Holý and L. Matejíčka: C-upper semicontinuous and C∗-upper semicontinuous multifunctions. Tatra Mount. Math. Publ. 34 (2006), 159–165. [8] D. Holý and L. Matejíčka: Quasicontinuous functions, minimal USCO maps and topology of pointwise convergence. Math. Slovaca (accepted). [9] M. Matejdes: Sur les seléctors des multifunctions. Math. Slovaca 37 (1987), 111–124. [10] M. Matejdes: Continuity of multifunctions. Real Anal. Exchange 19 (1993–94), 394–413. [11] M. Matejdes: Minimality of multifunctions. Real Anal. Exchange 32 (2007), 519–526. [12] T. Neubrunn: C-continuity and closed graphs. Čas. pro pěst. mat. 110 (1985), 172–178. [13] T. Neubrunn: Quasi continuity. Real Anal. Exchange 14 (1988–89), 259–306.
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utb.fulltext.faculty Faculty of Applied Informatics
utb.fulltext.ou Department of Mathematics
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