dc.contributor.author | Borsík, Ján | |
dc.contributor.editor | Filipczak, Małgorzata | |
dc.contributor.editor | Wagner-Bojakowska, Elżbieta | |
dc.date.accessioned | 2019-05-21T11:48:02Z | |
dc.date.available | 2019-05-21T11:48:02Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Borsík J., Points of quasicontinuity and of similar generalizations of continuity, [w:] Traditional and present-day topics in real analysis. Dedicated to Professor Jan Stanisław Lipiński, Filipczak M., Wagner-Bojakowska E. (red.), Wydawnictwo Uniwersytetu Łódzkiego, Łódź 2013, s. 113-128, doi: 10.18778/7525-971-1.09 | pl_PL |
dc.identifier.isbn | 978-83-7525-971-1 | |
dc.identifier.uri | http://hdl.handle.net/11089/28347 | |
dc.description.sponsorship | Udostępnienie publikacji Wydawnictwa Uniwersytetu Łódzkiego finansowane w ramach projektu „Doskonałość naukowa kluczem do doskonałości kształcenia”. Projekt realizowany jest ze środków Europejskiego Funduszu Społecznego w ramach Programu Operacyjnego Wiedza Edukacja Rozwój; nr umowy: POWER.03.05.00-00-Z092/17-00. | pl_PL |
dc.language.iso | en | pl_PL |
dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | pl_PL |
dc.relation.ispartof | Filipczak M., Wagner-Bojakowska E. (red.), Traditional and present-day topics in real analysis. Dedicated to Professor Jan Stanisław Lipiński, Wydawnictwo Uniwersytetu Łódzkiego, Łódź 2013; | |
dc.subject | 54C30 | pl_PL |
dc.subject | 54C08 | pl_PL |
dc.subject | generalizations of continuity | pl_PL |
dc.subject | points of quasicontinuity | pl_PL |
dc.title | Points of quasicontinuity and of similar generalizations of continuity | pl_PL |
dc.type | Book chapter | pl_PL |
dc.page.number | 113-128 | pl_PL |
dc.contributor.authorAffiliation | Slovak Academy of Sciences, Mathematical Institute | pl_PL |
dc.contributor.authorAffiliation | Prešovská univerzita v Prešove, Katedra fyziky, matematiky a techniky FHPV | pl_PL |
dc.references | N. Biswas, On some mappings in topological spaces, Calcutta Math. Soc. 61 (1969), 127–135. | pl_PL |
dc.references | R. Bolstein, Sets of points of continuity, Proc. Amer. Math. Soc. 38 (1973), 193–197. | pl_PL |
dc.references | J. Borsík, Bilateral quasicontinuity in topological spaces, Tatra Mt. Math. Publ. 28 (2004), 159–168. | pl_PL |
dc.references | J. Borsík, Local characterization of functions with closed graphs, Demonstratio Math. 29 (1996), 643–650. | 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, On the points of bilateral quasicontinuity of functions, Real Anal. Exchange 19 (1993/94), 529–536. | pl_PL |
dc.references | J. Borsík, On the points of one-sided and bilateral cliquishness, Real functions, density topology and related topics, Łódź University Press (2011), 91–100. | 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, Some classes of strongly quasicontinuous functions, Real Anal. Exchange 30 (2004/05), 689–702. | pl_PL |
dc.references | J. Borsík, J. Doboš, On simple continuity points, Real Anal. Exchange 16 (1990/91), 552–558. | pl_PL |
dc.references | A. M. Bruckner, J. G. Ceder, Darboux continuity, Jber. Deutsch. Math. Ver. 67 (1965), 93–117. | pl_PL |
dc.references | J. Calbrix, B. Alleche, Multifunctions and Čech-complete spaces, Proc. 8th Prague topological symposium, Prague, Czech republik, August 18–24, 1996 (P. Simon ed.), Topology Atlas, Prague, 1997, p. 30–36. | pl_PL |
dc.references | Á. Császár, Generalized open sets, Acta Math. Hungar. 75 (1997), 65–87. | pl_PL |
dc.references | Á. Császár, Generalized topology, generalized continuity, Acta Math. Hungar. 96 (2002), 351–357. | pl_PL |
dc.references | Á. Császár, Mixed constructions for generalized topologies, Acta Math. Hungar. 122 (2009), 153–159. | pl_PL |
dc.references | J. Doboš, On the set of points of discontinuity for functions with closed graphs, Časopis Pěst. Mat. 110 (1985), 60–68. | pl_PL |
dc.references | I. Domnik, On quasi-oscillation for symmetrical quasi-continuity, Tatra Mt. Math. Publ. 34 (2006), 61–69. | pl_PL |
dc.references | J. Ewert, Superpositions of oscillations and quasioscillations, Acta Math. Hungar. 101 (2003), 13–19. | pl_PL |
dc.references | J. Ewert, J. S. Lipiński, On points of continuity, quasi-continuity and cliquishness of maps, Topology and its applications, 5th Colloq. Eger 1983, Colloq. Math. Soc. Jńos Bolyai 41 (1985), 269–281. | pl_PL |
dc.references | J. Ewert, J. S. Lipiński, 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. Lipiński, 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 | J. Ewert, T. Lipski, Lower and upper quasicontinuous functions, Demonstratio Math. 16 (1983), 85–93. | pl_PL |
dc.references | D. K. Ganguly, P. Malick, On the points of one-sided cliquishness, Real Anal. Exchange 32 (2006/07), 537–546. | pl_PL |
dc.references | D. B. Gauld, Z. Piotrowski, On Volterra spaces, Far. East J. Math. Sci. 1 (1993), 209–214. | pl_PL |
dc.references | E. Grande, Sur un probléme concernant les fonctions quasicontinues, Math. Slovaca 32 (1982), 309–312. | 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, Quelques remarques sur la semicontinuité supérieure, Fund. Math. 126 (1985), 1–13. | pl_PL |
dc.references | Z. Grande, T. Natkaniec, On quasi-continuous bijections, Acta Math. Univ. Comenian. 60 (1991), 31–34. | pl_PL |
dc.references | H. Hahn, Reelle Funktionen, Akademie Verlagsgesellschaft, Leipzig, 1932. | pl_PL |
dc.references | I. R. Hamlett, L. L. Herington, The closed graph and P-closed graph properties in general topology, Vol. 3, Contemporary mathematics, Amer. Math. Soc., Providence, Rhode Island, 1980. | pl_PL |
dc.references | E. Hewitt, A problem of set-theoretic topology, Duke Math. J. 10 (1943), 309–333. | pl_PL |
dc.references | L’. Holá, Z. Piotrowski, Set of continuity points of functions with values in generalized metric spaces, Tatra Mt. Math. Publ. 42 (2009), 149–160. | pl_PL |
dc.references | J. M. Jastrzębski, Local characterization of functions having the Cantor intermediate value property, Real Anal. Exchange 24 (1998), 223–228. | pl_PL |
dc.references | J. M. Jastrzębski, J. M. Jędrzejewski, On connectivity points of Darboux functions, Math. Slovaca 39 (1989), 391–405. | pl_PL |
dc.references | J. M. Jastrzębski, J. M. Jędrzejewski, T. Natkaniec, Points of almost continuity of real functions, Real Anal. Exchange 16 (1991), 415–420 | 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, Comment. Math. Univ. Caroline 29 (1988), 601–609. | pl_PL |
dc.references | J. Kucner, R. J. Pawlak, On local characterization of the strong Świątkowski 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, On Darboux points, Bull. Acad. Pol. Sci. Ser. Math. Astronom. Phys 26 (1978), 869–873. | 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 | 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 semicontinuity points, Real Anal. Exchange 9 (1983/84), 215–232. | pl_PL |
dc.references | T. Natkaniec, On points of qualitative semicontinuity, Časopis Pěst.Mat. 110 (1985), 337–342. | pl_PL |
dc.references | V. V. Nesterenko, On a set of quasicontinuity points, Nauk Visn. Chernivets’kogo Univ. Mat. 46 (1999), 104–406. | pl_PL |
dc.references | V. V. Nesterenko, Set of points of α-continuity, Nauk Visn. Chernivets’kogo Univ. Mat. 269 (2005), 79–80. | 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, Časopis Pěst. Mat. 99 (1974), 109–114. | pl_PL |
dc.references | R. J. Pawlak, On local characterization of closed functions and functions with closed graphs, Demonstratio Math. 19 (1986), 181–188. | pl_PL |
dc.references | Z. Piotrowski, R.W. Vallin, Conditions which imply continuity, Real Anal. Exchange 29 (2003/04), 211–217. | pl_PL |
dc.references | H. Rosen, Connectivity points and Darboux points of real functions, Fund. Math. 89 (1975), 265–269. | pl_PL |
dc.references | T. Šalát, On discontinuity points of functions of some classes, Acta Math. Univ. Comenian. 42–43 (1983), 121–124. | pl_PL |
dc.references | L’. Snoha, On connectivity points, Math. Slovaca 33 (1983), 59–67. | pl_PL |
dc.references | E. Strońska, On some theorems of Richter and Stephani for symmetrical quasicontinuity and symmetrical cliquishness, Real Anal. Exchange 33 (2007/2008), 83–90. | pl_PL |
dc.references | W. H. Young, Über die Enteilung der unstetigen Funktionen und die Verteilung ihrer Stetigkeitpunkte, S. B. Akad. Wiss. Wien Math. Natur. K. Abt. IIA 112 (1907), 1307–1311. | pl_PL |
dc.contributor.authorEmail | borsik@saske.sk | pl_PL |
dc.contributor.authorEmail | jan.borsik@unipo.sk | pl_PL |
dc.identifier.doi | 10.18778/7525-971-1.09 | |