| Title:
|
On a generalized density point defined by families of sequences involving ideals (English) |
| Author:
|
Banerjee, Amar Kumar |
| Author:
|
Debnath, Indrajit |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0011-4642 |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
151 |
| Issue:
|
1 |
| Year:
|
2026 |
| Pages:
|
67-88 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce the notion of $\mathcal {I}_{(s)}$-density point corresponding to the family of unbounded and $\mathcal {I}$-monotonic increasing positive real sequences, where $\mathcal {I}$ is the ideal of subsets of the set of natural numbers. We study the corresponding topology in the space of reals and investigate several properties of this topology. Also we present a characterization of equality between the classical density topology and $\mathcal {I}_{(s)}$-density topology. (English) |
| Keyword:
|
density topology |
| Keyword:
|
ideal |
| Keyword:
|
$\mathcal {I}$-density topology |
| MSC:
|
26E99 |
| MSC:
|
40A35 |
| MSC:
|
54C30 |
| DOI:
|
10.21136/MB.2025.0043-24 |
| . |
| Date available:
|
2026-02-19T14:01:48Z |
| Last updated:
|
2026-02-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153387 |
| . |
| Reference:
|
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