| Title:
|
Pseudocompactness and the cozero part of a frame (English) |
| Author:
|
Banaschewski, Bernhard |
| Author:
|
Gilmour, Christopher |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
3 |
| Year:
|
1996 |
| Pages:
|
577-587 |
| . |
| Category:
|
math |
| . |
| Summary:
|
A characterization of the cozero elements of a frame, without reference to the reals, is given and is used to obtain a characterization of pseudocompactness also independent of the reals. Applications are made to the congruence frame of a $\sigma$-frame and to Alexandroff spaces. (English) |
| Keyword:
|
pseudocompact frames |
| Keyword:
|
$\sigma$-frames |
| Keyword:
|
cozero elements and Alexandroff spaces |
| MSC:
|
06B10 |
| MSC:
|
54C50 |
| MSC:
|
54D20 |
| idZBL:
|
Zbl 0881.54018 |
| idMR:
|
MR1426922 |
| . |
| Date available:
|
2009-01-08T18:26:17Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118864 |
| . |
| 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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| 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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| . |
