dc.contributor.author | Hejduk, Jacek | |
dc.contributor.author | Wiertelak, Renata | |
dc.contributor.editor | Filipczak, Małgorzata | |
dc.contributor.editor | Wagner-Bojakowska, Elżbieta | |
dc.date.accessioned | 2019-05-28T12:27:47Z | |
dc.date.available | 2019-05-28T12:27:47Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Hejduk J., Wiertelak R., On the abstract density topologies generated by lower and almost lower density operators, [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. 431-447, doi: 10.18778/7525-971-1.25 | pl_PL |
dc.identifier.isbn | 978-83-7525-971-1 | |
dc.identifier.uri | http://hdl.handle.net/11089/28738 | |
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 | lower density operator | pl_PL |
dc.subject | density topology | pl_PL |
dc.title | On the abstract density topologies generated by lower and almost lower density operators | pl_PL |
dc.type | Book chapter | pl_PL |
dc.page.number | 431-447 | pl_PL |
dc.contributor.authorAffiliation | Łódź University, Faculty of Mathematics and Computer Science | pl_PL |
dc.references | V. Aversa, W.Wilczyński, Simple density topology, Rend. Circ. Mat. Palermo, serie II, 53(3) (2004), 344-352. | pl_PL |
dc.references | K. Ciesielski, L. Larson, K. Ostaszewski, I-Density Continuous Functions, Mem. Amer. Math. Soc. 107(515), 1994. | pl_PL |
dc.references | M. Filipczak, T. Filipczak, On f-density topologies, Topology Appl. 155 (2008), 1980- 1989. | pl_PL |
dc.references | M. Filipczak, J. Hejduk, On topologies associated with the Lebesgue measure, Tatra Mt. Math. Publ. 28 (2004), 187-197. | pl_PL |
dc.references | C. Goffman, C. J. Neugebauer, T. Nishiura, Density topology and approximate continuity, Duke Math. J. 28 (1961), 497-505. | pl_PL |
dc.references | C. Goffman, D. Waterman, Approximately continuous transformations, Proc. Amer. Math. Soc. 12 (1961), 116-121. | pl_PL |
dc.references | T. R. Hamlett, D. Janković, D. A. Rose, Lower density topologies, Ann. New York Acad. Sci., Papers on General Topology and Applications 704 (1993), 309–321. | pl_PL |
dc.references | O. Haupt, C. Pauc, La topologie de Denjoy approximative envisagée comme vraie topologie, C. R. Acad. Sci. Paris 234 (1952), 390-392. | pl_PL |
dc.references | J. Hejduk, On density topologies generated by functions, Tatra Mt. Math. Publ. 40 (2008), 133-141. | pl_PL |
dc.references | J. Hejduk, On density topologies with respect to invariant σ-ideals, J. Appl. Anal. 8(2) (2002), 201-219. | pl_PL |
dc.references | J. Hejduk, On the regularity of topologies in the family of sets having the Baire property, Filomat (submitted). | pl_PL |
dc.references | J. Hejduk, G. Horbaczewska, On I-density topologies with respect to a fixed sequence, Reports on Real Analysis (Rowy), (2003), 78-85. | pl_PL |
dc.references | J. Hejduk, R. Wiertelak, On the generalization of the density topology on the real line, Mathematica Slovaca (to appear). | pl_PL |
dc.references | E. W. Hobson, The theory of functions of a real variable and the theory of Fourier’s series, vol. I. Dover Publications, Inc., New York, 1958. | pl_PL |
dc.references | G. Horbaczewska, The family of I-density type topologies, Comment. Math. Univ. Carolinae 46(4) (2005), 735-745. | pl_PL |
dc.references | J. M. Jędrzejewski, On limit numbers of real functions, Fund. Math. 83(3) (1973/1974), 269-281. | pl_PL |
dc.references | K. Kuratowski, Topology, vol 1, Polish Scientific Publications, Warsaw, 1966. | pl_PL |
dc.references | J. Lukeš, J. Malý, L. Zajiček, Fine Topology Methods in Real Analysis and Potential Theory, Lecture Notes in Math. 1189, Springer-Verlag, Berlin 1986. | pl_PL |
dc.references | E. Łazarow, A. Vizvary, ΨI-density topology, Pr. Nauk Akad. Jana Długosza Częst. Mat. 15 (2010), 67-80. | pl_PL |
dc.references | D. Maharam, On a theorem of von Neumann, Proc. Amer. Math. Soc. 9 (1958), 987–994. | pl_PL |
dc.references | J. C. Oxtoby, Measure and category, Springer-Verlag, Berlin 1980. | pl_PL |
dc.references | W. Poreda, E. Wagner-Bojakowska, W. Wilczyński, A category analogue of the density topology, Fund. Math. 125(2) (1985), 167-173. | pl_PL |
dc.references | W. Poreda, W. Wilczyński, Topology similar to the density topology, Bull. Soc. Sci. Lett. Łódź, 34 (2001), 55-60. | pl_PL |
dc.references | F. D. Tall, The density topology, Pacific. J. Math. 62(1) (1976), 275-284. | pl_PL |
dc.references | M. Terepeta, E.Wagner-Bojakowska, Ψ-density topology, Rend. Circ. Mat. Palermo, Serie II 48(3) (1999), 451-476. | pl_PL |
dc.references | E. Wagner-Bojakowska, Remarks on ψ-density topology, Atti Sem. Mat. Fis. Univ. Modena 49(1) (2001), 79-87. | 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 | R. Wiertelak, A generalization of density topology with respect to category, Real Anal. Exchange 32(1) (2006/2007), 273-286. | pl_PL |
dc.references | W. Wilczyński, A category analogue of the density topology, approximate continuity and the approximate derivative, Real Anal. Exchange 10(2) (1984-85), 241-265. | pl_PL |
dc.references | W. Wilczyński, Density topologies, Chapter 15 in Handbook of Measure Theory, Ed. E. Pap. Elsevier (2002), 675-702. | pl_PL |
dc.references | W. Wilczyński, W. Wojdowski, A category ψ-density topology, Cent. Eur. J. Math. 9(5) (2011), 1057-1066. | pl_PL |
dc.references | W.Wilczyński, W.Wojdowski, Complete density topology, Indag. Math., New series, 18(2) (2007), 295-303. | pl_PL |
dc.references | W. Wojdowski, Density topologies involving measure and category, Demonstratio Math. 22(3) (1989), 797-812. | pl_PL |
dc.contributor.authorEmail | hejduk@math.uni.lodz.pl | pl_PL |
dc.contributor.authorEmail | wiertelak@math.uni.lodz.pl | pl_PL |
dc.identifier.doi | 10.18778/7525-971-1.25 | |
dc.subject.msc | 54A10 | |
dc.subject.msc | 28A05 | |