| Title:
|
A new form of fuzzy $\alpha $-compactness (English) |
| Author:
|
Shi, Fu-Gui |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
131 |
| Issue:
|
1 |
| Year:
|
2006 |
| Pages:
|
15-28 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A new form of $\alpha $-compactness is introduced in $L$-topological spaces by $\alpha $-open $L$-sets and their inequality where $L$ is a complete de Morgan algebra. It doesn’t rely on the structure of the basis lattice $L$. It can also be characterized by means of $\alpha $-closed $L$-sets and their inequality. When $L$ is a completely distributive de Morgan algebra, its many characterizations are presented and the relations between it and the other types of compactness are discussed. Countable $\alpha $-compactness and the $\alpha $-Lindelöf property are also researched. (English) |
| Keyword:
|
$L$-topology |
| Keyword:
|
compactness |
| Keyword:
|
$\alpha $-compactness |
| Keyword:
|
countable $\alpha $-compactness |
| Keyword:
|
$\alpha $-Lindelöf property |
| Keyword:
|
$\alpha $-irresolute map |
| Keyword:
|
$\alpha $-continuous map |
| MSC:
|
54A40 |
| MSC:
|
54D35 |
| idZBL:
|
Zbl 1108.54009 |
| idMR:
|
MR2211000 |
| DOI:
|
10.21136/MB.2006.134081 |
| . |
| Date available:
|
2009-09-24T22:23:43Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134081 |
| . |
| Reference:
|
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| . |
