dc.contributor.author | Borsík, Ján | |
dc.contributor.editor | Hejduk, Jacek | |
dc.contributor.editor | Kowalczyk, Stanisław | |
dc.contributor.editor | Pawlak, Ryszard J. | |
dc.contributor.editor | Turowska, Małgorzata | |
dc.date.accessioned | 2018-05-11T10:10:55Z | |
dc.date.available | 2018-05-11T10:10:55Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Borsík 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.isbn | 978-83-7969-663-5 | |
dc.identifier.uri | http://hdl.handle.net/11089/24742 | |
dc.description.sponsorship | The paper was supported by Grant VEGA 2/0050/15 and APVV-0269-11 | pl_PL |
dc.language.iso | en | pl_PL |
dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | pl_PL |
dc.relation.ispartof | Modern Real Analysis; | |
dc.rights | Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/pl/ | * |
dc.subject | quasicontinuous functions | pl_PL |
dc.subject | cliquish functions | pl_PL |
dc.subject | points of continuity | pl_PL |
dc.subject | set of first category | pl_PL |
dc.subject | set of measure zero | pl_PL |
dc.title | Quasicontinuous functions with small set of discontinuity points | pl_PL |
dc.type | Book chapter | pl_PL |
dc.rights.holder | © Copyright by Authors, Łódź 2015; © Copyright for this edition by Uniwersytet Łódzki, Łódź 2015 | pl_PL |
dc.page.number | 11-26 | pl_PL |
dc.contributor.authorAffiliation | Mathematical Institute, Slovak Academy of Sciences | pl_PL |
dc.identifier.eisbn | 978-83-7969-955-1 | |
dc.references | R. Baire, Sur les functions des variables reelles, Ann. Mat. Pura Appl. 3 (1899), 1-122. | pl_PL |
dc.references | W. W. Bledsoe, Neighborly functions, Proc. Amer. Math. Soc. 3 (1952), 114-115. | pl_PL |
dc.references | J. Borsík, On strong quasicontinuity and continuity points, Tatra Mt. Math. Publ. 30 (2005), 47-57. | pl_PL |
dc.references | J. Borsík, Points of continuity and quasicontinuity, Cent. Eur. J. Math. 8 (2010), 179- 190. | pl_PL |
dc.references | J. Borsík, Points of continuity, quasicontinuity and cliquishness, Rend. Ist. Matem. Univ. Trieste 26 (1994), 5-20. | pl_PL |
dc.references | J. Borsík, Points of continuity, quasicontinuity, cliquishness and upper and lower quasicontinuity, Real Anal. Exchange 33 (2007/08), 339-350. | pl_PL |
dc.references | J. Borsík, Points of generalized continuities, Tatra Mt. Math. Publ. 52 (2012), 151- 158. | pl_PL |
dc.references | J. Borsík, Quasiuniform limits of quasicontinuous functions, Math. Slovaca 42 (1992), 269-274. | pl_PL |
dc.references | J. Borsík, Some classes of strongly quasicontinuous functions, Real Anal. Exchange 30 (2004/05), 689-702. | pl_PL |
dc.references | J. Borsík, Sums of quasicontinuous functions defined on pseudometrizable spaces. Real Anal. Exchange 22 (1996/97), 328-337. | pl_PL |
dc.references | J. Borsík, J. Doboš, M. Repický, Sums of quasicontinuous functions with closed graphs, Real Anal. Exchange 25 (1999/2000), 679-690. | pl_PL |
dc.references | J. Borsík, J. Holos, Some properties of porouscontinuous functions, Math. Slovaca 64 (2014), 741-750. | pl_PL |
dc.references | J. Borsík, J. Holos, Some remarks on porouscontinuous functions, in preparation. | pl_PL |
dc.references | Á. Császár, M. Laczkovich, Discrete and equal convergence, Studia Sci. Math. Hungar. 10 (1975), 463-472. | pl_PL |
dc.references | E. P. Dolženko, Boundary properties of arbitrary functions, (in Russian), Math. USSR Izv. 31 (1967), 3-14. | pl_PL |
dc.references | J. 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.references | J. 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.references | J. 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.references | E. Grande, Sur un probléme concernat les fonctions quasicontinues, Math. Slovaca 32 (1982), 309-312. | pl_PL |
dc.references | M. 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.references | Z. Grande, On Borsík’s problem concerning quasiuniform limits of Darboux quasicontinuous functions, Math. Slovaca 44 (1994), 297-301. | pl_PL |
dc.references | Z. Grande, On discrete limits of sequences of approximately continuous functions and Tae-continuous functions, Acta Math. Hungar. 92 (2001), 39-50. | pl_PL |
dc.references | Z. Grande, On Riemann integral quasicontinuity, Real Anal. Exchange 31 (2005/06), 239-252. | pl_PL |
dc.references | Z. Grande, On some represetations of a.e. continuous functions, Real Anal. Exchange 21 b(1995/96), 175-180. | pl_PL |
dc.references | Z. Grande, On some special notions of approximative quasi-continuity, Real Anal. Exchange 24 (1998/99), 171-183. | pl_PL |
dc.references | Z. Grande, On strong quasi-continuity of functions of two variables, Real Anal. Exchange 21 (1995/96), 236-243. | pl_PL |
dc.references | Z. Grande, On strong quasi-continuity points, Tatra Mt. Math. Publ. 8 (1996), 17-21. | pl_PL |
dc.references | Z. Grande, Quasicontinuity, cliquishness and the Baire property of functions of two variables, Tatra Mt. Math. Publ. 24 (2002), 29-35. | pl_PL |
dc.references | Z. Grande, On some special notions of approximate quasi-continuity, Real Anal. Exchange 24 (1998/99), 171-184. | pl_PL |
dc.references | Z. Grande, On quasi-uniform convergence of sequence of s.q.c. functions, Math. Slovaca 48 (1998), 507-511. | pl_PL |
dc.references | Z. Grande, On the maximal families for the class of strongly quasicontinuous functions, Real Anal. Exchange 20 (1994/95), 631-638. | pl_PL |
dc.references | Z. Grande, On the maximal multiplicative family for the class of quasicontinuous functions, Real Anal. Exchange 15 (1989/90), 437-441. | pl_PL |
dc.references | Z. Grande, Sur la quasi-continuité et la quasi-continuité approximative, Fund. Math. 129 (1988), 167-172. | pl_PL |
dc.references | S. Kempisty, Sur les fonctions quasicontinued, Fund. Math. 19 (1932), 184-197. | pl_PL |
dc.references | P. Kostyrko, Quasicontinuity and some classes of Baire 1 functions, Commentat. Mat. Univ. Carol. 29 (1988), 601-609. | pl_PL |
dc.references | S. Kowalczyk, Compositions of r-upper continuous functions, Math. Slovaca (to appear). | pl_PL |
dc.references | S. Kowalczyk, K. Nowakowska, A note on the r-upper continuous functions, Tatra Mt. Math. Publ. 44 (2009), 153-158. | pl_PL |
dc.references | S. Kowalczyk, K. Nowakowska, A note on the [0]-lower continuous functions, Tatra Mt. Math. Publ. 58 (2014), 111-128. | pl_PL |
dc.references | S. Kowalczyk, K. Nowakowska, On O’Malley r-upper-continuous functions, Math. Slovaca (submitted). | pl_PL |
dc.references | S. Kowalczyk, K. Nowakowska, Maximal classes for r-upper continuous functions, J. Appl. Anal. 19 (2013), 69-89. | pl_PL |
dc.references | S. Kowalczyk, K. Nowakowska, Maximal classes for the family of [l;r]-continuous functions, Real Anal. Exchange 36 (2010/2011), 307-324. | pl_PL |
dc.references | S. 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.references | J. 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.references | N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41. | pl_PL |
dc.references | J. S. Lipiński, T. Šalát, On the points of quasi-continuity and cliquishness of functions, Czechoslovak Math. J. 21 (1971), 484-489. | pl_PL |
dc.references | A. Maliszewski, Darboux property and quasi-continuity. A uniform approach, WSP, Słupsk, 1996. | pl_PL |
dc.references | A. Maliszewski, Sums and products of quasi-continuous functions, Real Anal. Exchange 21 (1995/96), 320-329. | pl_PL |
dc.references | M. Marciniak, P. Szczuka, Maximums of internally quasi-continnuous functions, Tatra Mt. Math. Publ. 52 (2012), 83-90. | pl_PL |
dc.references | S. Marcus, Sur les fonctions quasicontinues au sens de S. Kempisty, Colloq. Math. 8 (1961), 47-53. | pl_PL |
dc.references | O. V. Maslyuchenko, The discontinuity points sets of quasi-continuous functions, Bull. Austral. Math. Soc. 75 (2005), 373-379. | pl_PL |
dc.references | T. Natkaniec, On quasi-continuous functions having Darboux property, Math. Pannon. 3 (1992), 81-96. | pl_PL |
dc.references | T. Neubrunn, Quasicontinuity, Real Anal. Exchange 14 (1988/89), 259-306. | pl_PL |
dc.references | A. Neubrunnová, On quasicontinuous and cliquish functions, Cˇ asopis Peˇst. Mat. 99 (1974), 109-114. | pl_PL |
dc.references | K. Nowakowska, On a family of [l;r]-continuous functions, Tatra Mt. Math. Publ. 44 (2009), 129-138. | pl_PL |
dc.references | R. J. O’Malley, Approximately differentiable functions. The r topology, Pacific J. Math. 72 (1977), 207-222. | pl_PL |
dc.references | Ch. Richter, Representing cliquish functions as quasiuniform limits of quasicontinuous functions, Real Anal. Exchange 27 (2001/2002), 209-221. | pl_PL |
dc.references | W. Sieg, Maximal classes for the family of quasi-continuous functions with closed graph, Demonstratio Math. 42 (2009), 41-45. | pl_PL |
dc.references | P. Szczuka, Maximal classes for the family of strong S´wia˛tkowski functions, Real Anal. Exchange 28 (2002/2003), 429-437. | pl_PL |
dc.references | P. Szczuka, Sums and products of extra strong S´wia˛tkowski functions, TatraMt.Math. Publ. 49 (2011), 71-79. | pl_PL |
dc.references | H. P. Thielman, Types of functions, Amer. Math. Monthly 60 (1953), 158-161. | pl_PL |
dc.references | L. Zajíček, Porosity and s-porosity, Real Anal. Exchange 13 (1987/88), 314-350. | pl_PL |
dc.references | E. 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.references | E. 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.references | E. 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.doi | 10.18778/7969-663-5.02 | |