Show simple item record

dc.contributor.authorBorsík, Ján
dc.contributor.editorHejduk, Jacek
dc.contributor.editorKowalczyk, Stanisław
dc.contributor.editorPawlak, Ryszard J.
dc.contributor.editorTurowska, Małgorzata
dc.date.accessioned2018-05-11T10:10:55Z
dc.date.available2018-05-11T10:10:55Z
dc.date.issued2015
dc.identifier.citationBorsík J., Quasicontinuous functions with small set of discontinuity points, [w:] Modern Real Analysis, J. Hejduk, St. Kowalczyk, R.J. Pawlak, M. Turowska (red.), WUŁ, Łódź 2015, doi: 10.18778/7969-663-5.02.pl_PL
dc.identifier.isbn978-83-7969-663-5
dc.identifier.urihttp://hdl.handle.net/11089/24742
dc.description.sponsorshipThe paper was supported by Grant VEGA 2/0050/15 and APVV-0269-11pl_PL
dc.language.isoenpl_PL
dc.publisherWydawnictwo Uniwersytetu Łódzkiegopl_PL
dc.relation.ispartofModern Real Analysis;
dc.rightsUznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/pl/*
dc.subjectquasicontinuous functionspl_PL
dc.subjectcliquish functionspl_PL
dc.subjectpoints of continuitypl_PL
dc.subjectset of first categorypl_PL
dc.subjectset of measure zeropl_PL
dc.titleQuasicontinuous functions with small set of discontinuity pointspl_PL
dc.typeBook chapterpl_PL
dc.rights.holder© Copyright by Authors, Łódź 2015; © Copyright for this edition by Uniwersytet Łódzki, Łódź 2015pl_PL
dc.page.number11-26pl_PL
dc.contributor.authorAffiliationMathematical Institute, Slovak Academy of Sciencespl_PL
dc.identifier.eisbn978-83-7969-955-1
dc.referencesR. Baire, Sur les functions des variables reelles, Ann. Mat. Pura Appl. 3 (1899), 1-122.pl_PL
dc.referencesW. W. Bledsoe, Neighborly functions, Proc. Amer. Math. Soc. 3 (1952), 114-115.pl_PL
dc.referencesJ. Borsík, On strong quasicontinuity and continuity points, Tatra Mt. Math. Publ. 30 (2005), 47-57.pl_PL
dc.referencesJ. Borsík, Points of continuity and quasicontinuity, Cent. Eur. J. Math. 8 (2010), 179- 190.pl_PL
dc.referencesJ. Borsík, Points of continuity, quasicontinuity and cliquishness, Rend. Ist. Matem. Univ. Trieste 26 (1994), 5-20.pl_PL
dc.referencesJ. Borsík, Points of continuity, quasicontinuity, cliquishness and upper and lower quasicontinuity, Real Anal. Exchange 33 (2007/08), 339-350.pl_PL
dc.referencesJ. Borsík, Points of generalized continuities, Tatra Mt. Math. Publ. 52 (2012), 151- 158.pl_PL
dc.referencesJ. Borsík, Quasiuniform limits of quasicontinuous functions, Math. Slovaca 42 (1992), 269-274.pl_PL
dc.referencesJ. Borsík, Some classes of strongly quasicontinuous functions, Real Anal. Exchange 30 (2004/05), 689-702.pl_PL
dc.referencesJ. Borsík, Sums of quasicontinuous functions defined on pseudometrizable spaces. Real Anal. Exchange 22 (1996/97), 328-337.pl_PL
dc.referencesJ. Borsík, J. Doboš, M. Repický, Sums of quasicontinuous functions with closed graphs, Real Anal. Exchange 25 (1999/2000), 679-690.pl_PL
dc.referencesJ. Borsík, J. Holos, Some properties of porouscontinuous functions, Math. Slovaca 64 (2014), 741-750.pl_PL
dc.referencesJ. Borsík, J. Holos, Some remarks on porouscontinuous functions, in preparation.pl_PL
dc.referencesÁ. Császár, M. Laczkovich, Discrete and equal convergence, Studia Sci. Math. Hungar. 10 (1975), 463-472.pl_PL
dc.referencesE. P. Dolženko, Boundary properties of arbitrary functions, (in Russian), Math. USSR Izv. 31 (1967), 3-14.pl_PL
dc.referencesJ. Ewert, J. S. Lipi´nski, On points of continuity, quasi-continuity and cliquishness of maps, Topology Appl., 5th Colloq. Eger 1983, Colloq. Math. Soc. János Bolyai 41 (1985), 269-281.pl_PL
dc.referencesJ. Ewert, J. S. Lipi´nski, On points of continuity, quasicontinuity and cliquishness of real functions, Real Anal. Exchange 8 (1982/83), 473-478.pl_PL
dc.referencesJ. Ewert, J. S. Lipi´nski, On relations between continuity, quasi-continuity and cliquishness of maps, General topology and its relations to modern analysis and algebra VI, Proc. 6th Symp. Prague 1986, Res. Expo. Math. 16 (1988), 177-185.pl_PL
dc.referencesE. Grande, Sur un probléme concernat les fonctions quasicontinues, Math. Slovaca 32 (1982), 309-312.pl_PL
dc.referencesM. Grande, On the sets of discontinuity points of functions satisfying some approximate quasi-continuity conditions, Real Anal. Exchange 27 (2001/02), 773-782.pl_PL
dc.referencesZ. Grande, On Borsík’s problem concerning quasiuniform limits of Darboux quasicontinuous functions, Math. Slovaca 44 (1994), 297-301.pl_PL
dc.referencesZ. Grande, On discrete limits of sequences of approximately continuous functions and Tae-continuous functions, Acta Math. Hungar. 92 (2001), 39-50.pl_PL
dc.referencesZ. Grande, On Riemann integral quasicontinuity, Real Anal. Exchange 31 (2005/06), 239-252.pl_PL
dc.referencesZ. Grande, On some represetations of a.e. continuous functions, Real Anal. Exchange 21 b(1995/96), 175-180.pl_PL
dc.referencesZ. Grande, On some special notions of approximative quasi-continuity, Real Anal. Exchange 24 (1998/99), 171-183.pl_PL
dc.referencesZ. Grande, On strong quasi-continuity of functions of two variables, Real Anal. Exchange 21 (1995/96), 236-243.pl_PL
dc.referencesZ. Grande, On strong quasi-continuity points, Tatra Mt. Math. Publ. 8 (1996), 17-21.pl_PL
dc.referencesZ. Grande, Quasicontinuity, cliquishness and the Baire property of functions of two variables, Tatra Mt. Math. Publ. 24 (2002), 29-35.pl_PL
dc.referencesZ. Grande, On some special notions of approximate quasi-continuity, Real Anal. Exchange 24 (1998/99), 171-184.pl_PL
dc.referencesZ. Grande, On quasi-uniform convergence of sequence of s.q.c. functions, Math. Slovaca 48 (1998), 507-511.pl_PL
dc.referencesZ. Grande, On the maximal families for the class of strongly quasicontinuous functions, Real Anal. Exchange 20 (1994/95), 631-638.pl_PL
dc.referencesZ. Grande, On the maximal multiplicative family for the class of quasicontinuous functions, Real Anal. Exchange 15 (1989/90), 437-441.pl_PL
dc.referencesZ. Grande, Sur la quasi-continuité et la quasi-continuité approximative, Fund. Math. 129 (1988), 167-172.pl_PL
dc.referencesS. Kempisty, Sur les fonctions quasicontinued, Fund. Math. 19 (1932), 184-197.pl_PL
dc.referencesP. Kostyrko, Quasicontinuity and some classes of Baire 1 functions, Commentat. Mat. Univ. Carol. 29 (1988), 601-609.pl_PL
dc.referencesS. Kowalczyk, Compositions of r-upper continuous functions, Math. Slovaca (to appear).pl_PL
dc.referencesS. Kowalczyk, K. Nowakowska, A note on the r-upper continuous functions, Tatra Mt. Math. Publ. 44 (2009), 153-158.pl_PL
dc.referencesS. Kowalczyk, K. Nowakowska, A note on the [0]-lower continuous functions, Tatra Mt. Math. Publ. 58 (2014), 111-128.pl_PL
dc.referencesS. Kowalczyk, K. Nowakowska, On O’Malley r-upper-continuous functions, Math. Slovaca (submitted).pl_PL
dc.referencesS. Kowalczyk, K. Nowakowska, Maximal classes for r-upper continuous functions, J. Appl. Anal. 19 (2013), 69-89.pl_PL
dc.referencesS. Kowalczyk, K. Nowakowska, Maximal classes for the family of [l;r]-continuous functions, Real Anal. Exchange 36 (2010/2011), 307-324.pl_PL
dc.referencesS. Kowalczyk, K. Nowakowska, Path continuity connected with the notion of density, Traditional and present-day topics in real analysis, University of Łód´z, Łód´z 2013, 449-471.pl_PL
dc.referencesJ. Kucner, R. J. Pawlak, On local characterization of the strong S´wia˛tkowski property for a function f : [a;b]-->R, Real Anal. Exchange 28 (2002/03), 563-572.pl_PL
dc.referencesN. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41.pl_PL
dc.referencesJ. S. Lipiński, T. Šalát, On the points of quasi-continuity and cliquishness of functions, Czechoslovak Math. J. 21 (1971), 484-489.pl_PL
dc.referencesA. Maliszewski, Darboux property and quasi-continuity. A uniform approach, WSP, Słupsk, 1996.pl_PL
dc.referencesA. Maliszewski, Sums and products of quasi-continuous functions, Real Anal. Exchange 21 (1995/96), 320-329.pl_PL
dc.referencesM. Marciniak, P. Szczuka, Maximums of internally quasi-continnuous functions, Tatra Mt. Math. Publ. 52 (2012), 83-90.pl_PL
dc.referencesS. Marcus, Sur les fonctions quasicontinues au sens de S. Kempisty, Colloq. Math. 8 (1961), 47-53.pl_PL
dc.referencesO. V. Maslyuchenko, The discontinuity points sets of quasi-continuous functions, Bull. Austral. Math. Soc. 75 (2005), 373-379.pl_PL
dc.referencesT. Natkaniec, On quasi-continuous functions having Darboux property, Math. Pannon. 3 (1992), 81-96.pl_PL
dc.referencesT. Neubrunn, Quasicontinuity, Real Anal. Exchange 14 (1988/89), 259-306.pl_PL
dc.referencesA. Neubrunnová, On quasicontinuous and cliquish functions, Cˇ asopis Peˇst. Mat. 99 (1974), 109-114.pl_PL
dc.referencesK. Nowakowska, On a family of [l;r]-continuous functions, Tatra Mt. Math. Publ. 44 (2009), 129-138.pl_PL
dc.referencesR. J. O’Malley, Approximately differentiable functions. The r topology, Pacific J. Math. 72 (1977), 207-222.pl_PL
dc.referencesCh. Richter, Representing cliquish functions as quasiuniform limits of quasicontinuous functions, Real Anal. Exchange 27 (2001/2002), 209-221.pl_PL
dc.referencesW. Sieg, Maximal classes for the family of quasi-continuous functions with closed graph, Demonstratio Math. 42 (2009), 41-45.pl_PL
dc.referencesP. Szczuka, Maximal classes for the family of strong S´wia˛tkowski functions, Real Anal. Exchange 28 (2002/2003), 429-437.pl_PL
dc.referencesP. Szczuka, Sums and products of extra strong S´wia˛tkowski functions, TatraMt.Math. Publ. 49 (2011), 71-79.pl_PL
dc.referencesH. P. Thielman, Types of functions, Amer. Math. Monthly 60 (1953), 158-161.pl_PL
dc.referencesL. Zajíček, Porosity and s-porosity, Real Anal. Exchange 13 (1987/88), 314-350.pl_PL
dc.referencesE. Strońska, On quasi-uniform convergence of sequences of s1-strongly quasicontinuous functions on Rm, Real Anal. Exchange 30 (2004/2005), 217-234.pl_PL
dc.referencesE. Strońska, On the maximal families for some classes of strongly quasicontinuous functions on Rm, Real Anal. Exchange 32 (2006/2007), 3-18.pl_PL
dc.referencesE. Strońska, On the maximal families for some special classes of strongly quasicontinuous functions, Real Anal. Exchange 23 (1997/98), 743-752.pl_PL
dc.identifier.doi10.18778/7969-663-5.02


Files in this item

Thumbnail
Thumbnail
Thumbnail

This item appears in the following Collection(s)

Show simple item record

Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska
Except where otherwise noted, this item's license is described as Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska