| Title:
|
Booleanization of uniform frames (English) |
| Author:
|
Banaschewski, B. |
| Author:
|
Pultr, A. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
135-146 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Booleanization of frames or uniform frames, which is not functorial under the basic choice of morphisms, becomes functorial in the categories with weakly open homomorphisms or weakly open uniform homomorphisms. Then, the construction becomes a reflection. In the uniform case, moreover, it also has a left adjoint. In connection with this, certain dual equivalences concerning uniform spaces and uniform frames arise. (English) |
| Keyword:
|
Booleanization |
| Keyword:
|
uniform frame |
| Keyword:
|
uniform space |
| Keyword:
|
weakly open maps and homomorphisms |
| MSC:
|
06D10 |
| MSC:
|
06E15 |
| MSC:
|
18A40 |
| MSC:
|
18B30 |
| MSC:
|
54B30 |
| MSC:
|
54C10 |
| MSC:
|
54E15 |
| idZBL:
|
Zbl 0848.06009 |
| idMR:
|
MR1396165 |
| . |
| Date available:
|
2009-01-08T18:22:30Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118817 |
| . |
| 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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[10] Johnstone P.T.: Factorization theorems for geometric morphisms, II..Springer Lecture Notes in Math. 915 (1982), 216-233. Zbl 0477.18006, MR 0659894 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
