| Title:
|
HC-convergence theory of $L$-nets and $L$-ideals and some of its applications (English) |
| Author:
|
Nouh, A. A. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
128 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
349-366 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we introduce and study the concepts of $\operatorname{\text{HC}}$-closed set and $\operatorname{\text{HC}}$-limit ($\operatorname{\text{HC}}$-cluster) points of $L$-nets and $L$-ideals using the notion of almost $N$-compact remoted neighbourhoods in $L$-topological spaces. Then we introduce and study the concept of $\operatorname{\text{HL}}$-continuous mappings. Several characterizations based on $\operatorname{\text{HC}}$-closed sets and the $\operatorname{\text{HC}}$-convergence theory of $L$-nets and $L$-ideals are presented for $\operatorname{\text{HL}}$-continuous mappings. (English) |
| Keyword:
|
$L$-topology |
| Keyword:
|
remoted neighbourhood |
| Keyword:
|
almost $N$-compactness |
| Keyword:
|
$\operatorname{\text{HC}}$-closed set |
| Keyword:
|
$\operatorname{\text{HL}}$-continuity |
| Keyword:
|
$L$-net |
| Keyword:
|
$L$-ideal |
| Keyword:
|
$\operatorname{\text{HC}}$-convergence theory |
| MSC:
|
54A20 |
| MSC:
|
54A40 |
| MSC:
|
54C08 |
| MSC:
|
54H12 |
| idZBL:
|
Zbl 1053.54505 |
| idMR:
|
MR2032473 |
| DOI:
|
10.21136/MB.2003.134000 |
| . |
| Date available:
|
2009-09-24T22:10:42Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134000 |
| . |
| Reference:
|
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| . |
