| Title:
|
The family of $I$-density type topologies (English) |
| Author:
|
Horbaczewska, Grazyna |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
46 |
| Issue:
|
4 |
| Year:
|
2005 |
| Pages:
|
735-745 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
$I$-density point |
| Keyword:
|
family of topologies |
| MSC:
|
54A10 |
| idZBL:
|
Zbl 1121.54009 |
| idMR:
|
MR2259503 |
| . |
| Date available:
|
2009-05-05T16:54:43Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119563 |
| . |
| Reference:
|
[FFH] Filipczak M., Filipczak T., Hejduk J.: On the comparison of the density type topologies.Atti Sem. Mat. Fis. Univ. Modena, to appear. Zbl 1117.54002, MR 2151082 |
| Reference:
|
[FH] Filipczak M., Hejduk J.: On topologies associated with the Lebesgue measure.Tatra Mountains, Mathematical Publications 28 (2004), 187-197. Zbl 1107.54003, MR 2086991 |
| Reference:
|
[HH] 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. |
| Reference:
|
[H] Horbaczewska G.: On $I$-density topologies with respect to a fixed sequence - further properties.Tatra Mountains, Mathematical Publications, to appear. Zbl 1135.54002, MR 2287251 |
| Reference:
|
[Ł] Łazarow E.: On the Baire class of $I$-approximate derivatives.Proc. Amer. Math. Soc. 100 4 (1987), 669-674. MR 0894436 |
| Reference:
|
[PWW1] Poreda W., Wagner-Bojakowska E., Wilczyński W.: A category analogue of the density topology.Fund. Math. 125 (1985), 167-173. MR 0813753 |
| Reference:
|
[PWW2] 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. MR 0817826 |
| . |
