| Title:
|
Perfect compactifications of frames (English) |
| Author:
|
Baboolal, Dharmanand |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
3 |
| Year:
|
2011 |
| Pages:
|
845-861 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Perfect compactifications of frames are introduced. It is shown that the Stone-Čech compactification is an example of such a compactification. We also introduce rim-compact frames and for such frames we define its Freudenthal compactification, another example of a perfect compactification. The remainder of a rim-compact frame in its Freudenthal compactification is shown to be zero-dimensional. It is shown that with the assumption of the Boolean Ultrafilter Theorem the Freudenthal compactification for spaces, as well as the Freudenthal-Morita Theorem for spaces, can be obtained from our frame constructions. (English) |
| Keyword:
|
perfect compactifications |
| Keyword:
|
rim-compact frame |
| MSC:
|
06B35 |
| MSC:
|
06D20 |
| MSC:
|
54D35 |
| idZBL:
|
Zbl 1249.06027 |
| idMR:
|
MR2853096 |
| DOI:
|
10.1007/s10587-011-0032-z |
| . |
| Date available:
|
2011-09-22T14:51:54Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141643 |
| . |
| 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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| . |
