| Title:
|
$I$ and $I^*$-convergence in topological spaces (English) |
| Author:
|
Lahiri, B. K. |
| Author:
|
Das, Pratulananda |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
130 |
| Issue:
|
2 |
| Year:
|
2005 |
| Pages:
|
153-160 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We extend the idea of $I$-convergence and $I^*$-convergence of sequences to a topological space and derive several basic properties of these concepts in the topological space. (English) |
| Keyword:
|
$I$-convergence |
| Keyword:
|
$I^*$-convergence |
| Keyword:
|
condition (AP) |
| Keyword:
|
$I$-limit point |
| Keyword:
|
$I$-cluster point |
| MSC:
|
40A05 |
| MSC:
|
40A30 |
| MSC:
|
40A99 |
| MSC:
|
54A20 |
| idZBL:
|
Zbl 1111.40001 |
| idMR:
|
MR2148648 |
| DOI:
|
10.21136/MB.2005.134133 |
| . |
| Date available:
|
2009-09-24T22:19:27Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134133 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Demirci, K.: $I$-limit superior and limit inferior.Math. Commun. 6 (2001), 165–172. Zbl 0992.40002, MR 1908336 |
| Reference:
|
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| Reference:
|
[5] Halberstem, H., Roth, K. F.: Sequences.Springer, New York, 1993. |
| Reference:
|
[6] Kostyrko, P., Šalát, T., Wilczyński, W.: $I$-convergence.Real Analysis Exch. 26 (2000/2001), 669–685. MR 1844385, 10.2307/44154069 |
| Reference:
|
[7] Kostyrko, P., Mačaj, M., Šalát, T., Sleziak, M.: $I$-convergence and a termal $I$-limit points.(to appear). |
| Reference:
|
[8] Kuratowski, K.: Topologie I.PWN, Warszawa, 1962. |
| Reference:
|
[9] Lahiri, B. K., Das, Pratulananda: Further results on $I$-limit superior and $I$-limit inferior.Math. Commun. 8 (2003), 151–156. MR 2026393 |
| Reference:
|
[10] Mačaj M., Šalát, T.: Statistical convergence of subsequences of a given sequence.Math. Bohem. 126 (2001), 191–208. MR 1826482 |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| . |
