dc.contributor.author | Filipczak, Małgorzata | |
dc.contributor.author | Terepeta, Małgorzata | |
dc.contributor.editor | Filipczak, Małgorzata | |
dc.contributor.editor | Wagner-Bojakowska, Elżbieta | |
dc.date.accessioned | 2019-05-28T11:55:29Z | |
dc.date.available | 2019-05-28T11:55:29Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Filipczak M., Terepeta M., On ψ-density topologies on the real line and on the plane, [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. 367-387, doi: 10.18778/7525-971-1.22 | pl_PL |
dc.identifier.isbn | 978-83-7525-971-1 | |
dc.identifier.uri | http://hdl.handle.net/11089/28729 | |
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.rights | Attribution-NonCommercial-NoDerivatives 4.0 Międzynarodowe | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | density topology | pl_PL |
dc.subject | ψ-density topology | pl_PL |
dc.subject | comparison of topologies | pl_PL |
dc.title | On ψ-density topologies on the real line and on the plane | pl_PL |
dc.type | Book chapter | pl_PL |
dc.page.number | 367-387 | pl_PL |
dc.contributor.authorAffiliation | Łódź University, Faculty of Mathematics and Computer Science | pl_PL |
dc.contributor.authorAffiliation | Łódź University of Technology, Center of Mathematics and Physics | pl_PL |
dc.references | V. Aversa, W. Wilczyński, ψ-density topology for discontinuous regular functions, Atti Sem. Mat. Fis. Univ. Modena 48(2) (2000), 473–480. | pl_PL |
dc.references | A. K. Banerjee, P. Das, A note on ψ-density topology, Kochi J. Math. 3 (2008), 211–216. | pl_PL |
dc.references | P. Das, B.K. Lahiri, Ψ-density topologies, East-West J. Math. 5 (2003), 1–18. | pl_PL |
dc.references | M. Filipczak, σ-ideals, topologies and multiplication, Bull. Soc. des Sci. LII, Łód´z 2002, 11–16. | pl_PL |
dc.references | M. Filipczak, Topologie ψ-gęstości na płaszczyźnie, Wydawnictwo Uniwersytetu Łódzkiego, Łódź 2004. | pl_PL |
dc.references | M. Filipczak, Ψ-density topology is not regular, Bull. Soc. des Sci. LIV, Łódź 2004, 21–25. | pl_PL |
dc.references | M. Filipczak, M. Terepeta, Consequences of Theorem of S. J. Taylor, Report on Real Analysis, Conference at Rowy (2003), 67–75. | pl_PL |
dc.references | M. Filipczak, M. Terepeta, Ψ-continuous functions, Rend. Circ. Mat. Palermo 58 (2009), 245–255. | pl_PL |
dc.references | M. Filipczak, M. Terepeta, On Δ2-condition in density-type topologies, Demonstratio Mathematica XLIV(2) (2011), 423–432 | pl_PL |
dc.references | G. Horbaczewska, Resolvability of ψ-density topology, Bull. Soc. Sci. Lett. LII, Łódź 2002, 5–9. | pl_PL |
dc.references | C. Goffman, C. J. Neugebauer, and T. Nishiura, Density topology and approximate continuity, Duke Math. J. Volume 28(4) (1961), 497–505. | pl_PL |
dc.references | C. Goffman, D. Waterman, Approximately continuous transformations, Proceedings of the American Mathematical Society Vol. 12(1) (1961), 116–121. | pl_PL |
dc.references | A. Goździewicz-Smejda, E. Łazarow, Comparison of ψ-sparse topologies, Jan Długosz University in Częstochowa Scientific Issues, Mathematics XIV, Częstochowa 2009, 21–36. | pl_PL |
dc.references | A. Goździewicz-Smejda, E. Łazarow, Topologies generated by the ψ-sparse sets, Real Anal. Exchange Volume 36(2) (2010), 257–268. | pl_PL |
dc.references | J. Lukes, J. Maly, L. Zajicek, Fine Topology Methods in Real Analysis and Potential Theory, Springer-Verlag 1189, 1986. | pl_PL |
dc.references | E. Łazarow, A. Vizváry, ψI-density topology, Jan Długosz University in Częstochowa Scientific Issues, Mathematics XV, Częstochowa (2010), 67—80. | pl_PL |
dc.references | E. Łazarow, K. Rychert, ψI-superporosity, Real Functions, Density Topology and Related Topics, Łódź Univ. Press 2011, 69-–76. | pl_PL |
dc.references | K. Ostaszewski, Continuity in the density topology, Real Anal. Exchange 7(2) (1981–82), 259–270. | pl_PL |
dc.references | S. Saks, Theory of the Integral, Monografie Matematyczne, Warszawa 1937. | pl_PL |
dc.references | The Scottish Book, http://kielich.amu.edu.pl/Stefan_Banach/e-scottish-book.html. | pl_PL |
dc.references | S. J. Taylor, On strengthening of the Lebesgue Density Theorem, Fund. Math. 46(3) (1959), 305–315. | pl_PL |
dc.references | S. J. Taylor, An alternative form of Egoroff’s theorem, Fund. Math. 48(2) (1959), 169–174. | pl_PL |
dc.references | M. Terepeta, E. Wagner-Bojakowska,Ψ-density topology, Rend. Circ. Mat. Palermo 48, Ser. II (1999), 451–476. | pl_PL |
dc.references | E. Wagner-Bojakowska, Remarks on ψ-density topology, Atti Sem. Mat. Fis. Univ. Modena IL (2001), 79–87. | pl_PL |
dc.references | E. Wagner-Bojakowska, W. Wilczyński, The interior operation in a ψ-density topology, Circ. Mat. Palermo 48 (1999), 5–26. | pl_PL |
dc.references | E. Wagner-Bojakowska, W. Wilczyński, Comparison of ψ-density topologies, Real Anal. Exchange 25(2) (1999/2000), 661–672 . | pl_PL |
dc.references | E.Wagner-Bojakowska, W.Wilczyński, The union of ψ-density topologies, Atti Sem. Mat. Fis. Univ. Modena 50(2) (2002), 313–326. | pl_PL |
dc.references | W. Wilczyński, Density Topologies, Chapter 15 in Hadbook of Measure Theory, edited by E. Pap, Elsevier 2002. | pl_PL |
dc.contributor.authorEmail | malfil@math.uni.lodz.pl | pl_PL |
dc.contributor.authorEmail | terepeta@p.lodz.pl | pl_PL |
dc.identifier.doi | 10.18778/7525-971-1.22 | |
dc.subject.msc | 28A05 | |
dc.subject.msc | 54A10 | |