# The family of $I$-density type topologies

Commentationes Mathematicae Universitatis Carolinae (2005)

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

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topHorbaczewska, 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

top- Filipczak M., Filipczak T., Hejduk J., On the comparison of the density type topologies, Atti Sem. Mat. Fis. Univ. Modena, to appear. Zbl1117.54002MR2151082
- Filipczak M., Hejduk J., On topologies associated with the Lebesgue measure, Tatra Mountains, Mathematical Publications 28 (2004), 187-197. (2004) Zbl1107.54003MR2086991
- 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.
- Horbaczewska G., On $I$-density topologies with respect to a fixed sequence - further properties, Tatra Mountains, Mathematical Publications, to appear. Zbl1135.54002MR2287251
- Łazarow E., On the Baire class of $I$-approximate derivatives, Proc. Amer. Math. Soc. 100 4 (1987), 669-674. (1987) MR0894436
- Poreda W., Wagner-Bojakowska E., Wilczyński W., A category analogue of the density topology, Fund. Math. 125 (1985), 167-173. (1985) MR0813753
- 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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