The family of I -density type topologies

Grazyna Horbaczewska

Commentationes Mathematicae Universitatis Carolinae (2005)

  • Volume: 46, Issue: 4, page 735-745
  • ISSN: 0010-2628

Abstract

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We investigate a family of topologies introduced similarly as the I -density topology. In particular, we compare these topologies with respect to inclusion and we look for conditions under which these topologies are identical.

How to cite

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Horbaczewska, Grazyna. "The family of $I$-density type topologies." Commentationes Mathematicae Universitatis Carolinae 46.4 (2005): 735-745. <http://eudml.org/doc/249541>.

@article{Horbaczewska2005,
abstract = {We investigate a family of topologies introduced similarly as the $I$-density topology. In particular, we compare these topologies with respect to inclusion and we look for conditions under which these topologies are identical.},
author = {Horbaczewska, Grazyna},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$I$-density point; family of topologies; family of topologies},
language = {eng},
number = {4},
pages = {735-745},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The family of $I$-density type topologies},
url = {http://eudml.org/doc/249541},
volume = {46},
year = {2005},
}

TY - JOUR
AU - Horbaczewska, Grazyna
TI - The family of $I$-density type topologies
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2005
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 46
IS - 4
SP - 735
EP - 745
AB - We investigate a family of topologies introduced similarly as the $I$-density topology. In particular, we compare these topologies with respect to inclusion and we look for conditions under which these topologies are identical.
LA - eng
KW - $I$-density point; family of topologies; family of topologies
UR - http://eudml.org/doc/249541
ER -

References

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  1. Filipczak M., Filipczak T., Hejduk J., On the comparison of the density type topologies, Atti Sem. Mat. Fis. Univ. Modena, to appear. Zbl1117.54002MR2151082
  2. Filipczak M., Hejduk J., On topologies associated with the Lebesgue measure, Tatra Mountains, Mathematical Publications 28 (2004), 187-197. (2004) Zbl1107.54003MR2086991
  3. Hejduk J., Horbaczewska G., On I -density topologies with respect to a fixed sequence, Reports on Real Analysis, Conference at Rowy 2003, pp.78-85. 
  4. Horbaczewska G., On I -density topologies with respect to a fixed sequence - further properties, Tatra Mountains, Mathematical Publications, to appear. Zbl1135.54002MR2287251
  5. Łazarow E., On the Baire class of I -approximate derivatives, Proc. Amer. Math. Soc. 100 4 (1987), 669-674. (1987) MR0894436
  6. Poreda W., Wagner-Bojakowska E., Wilczyński W., A category analogue of the density topology, Fund. Math. 125 (1985), 167-173. (1985) MR0813753
  7. Poreda W., Wagner-Bojakowska E., Wilczyński W., Remarks on I -density and I -approximately continuous functions, Comment. Math. Univ. Carolinae 26 3 (1985), 241-265. (1985) MR0817826

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