| Title:
|
Localic Katětov-Tong insertion theorem and localic Tietze extension theorem (English) |
| Author:
|
Li, Yong Min |
| Author:
|
Guo-jun, Wang |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
38 |
| Issue:
|
4 |
| Year:
|
1997 |
| Pages:
|
801-814 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, localic upper, respectively lower continuous chains over a locale are defined. A localic Katětov-Tong insertion theorem is given and proved in terms of a localic upper and lower continuous chain. Finally, the localic Urysohn lemma and the localic Tietze extension theorem are shown as applications of the localic insertion theorem. (English) |
| Keyword:
|
frame |
| Keyword:
|
locale |
| Keyword:
|
lower (upper) continuous chain |
| Keyword:
|
normal locale |
| MSC:
|
06D20 |
| MSC:
|
06D22 |
| MSC:
|
18B30 |
| MSC:
|
54C20 |
| MSC:
|
54C30 |
| idZBL:
|
Zbl 0938.06008 |
| idMR:
|
MR1603726 |
| . |
| Date available:
|
2009-01-08T18:38:12Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118974 |
| . |
| 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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| . |
