| Title:
|
r-Realcompact spaces (English) |
| Author:
|
Bhattacharya, D. |
| Author:
|
Dey, Lipika |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
53 |
| Issue:
|
2 |
| Year:
|
2012 |
| Pages:
|
253-267 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A new generalization of realcompactness based on ultrafilters of regular $F_{\sigma}$-subsets is introduced. Its relationship with realcompactness, almost realcompactness, almost* realcompactness, c-realcompactness is examined. Some of the properties of the newly introduced space is studied as well. (English) |
| Keyword:
|
regular $F_{\sigma}$-subsets |
| Keyword:
|
almost realcompactness |
| Keyword:
|
almost* realcompactness |
| Keyword:
|
r-weak cb |
| Keyword:
|
regular Oz |
| Keyword:
|
regular countably paracompact |
| MSC:
|
54D60 |
| idZBL:
|
Zbl 1265.54111 |
| idMR:
|
MR3017258 |
| . |
| Date available:
|
2012-08-08T09:02:15Z |
| Last updated:
|
2014-07-07 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142888 |
| . |
| Reference:
|
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| Reference:
|
[2] Bhattacharya D., Bhaumik R.N.: Regular $G$-delta embeddings.Far East J. Math. Sci. (1997), Special Volume, Part II, 167–179. MR 1605437 |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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[10] Horne J.G.: Countable paracompactness and cb spaces.Notices Amer. Math. Soc. 6 (1959), 629–636. |
| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| . |
