| Title:
|
Closure spaces and characterizations of filters in terms of their Stone images (English) |
| Author:
|
Mynard, Anh Tran |
| Author:
|
Mynard, Frédéric |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
57 |
| Issue:
|
3 |
| Year:
|
2007 |
| Pages:
|
1025-1034 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Fréchet, strongly Fréchet, productively Fréchet, weakly bisequential and bisequential filters (i.e., neighborhood filters in spaces of the same name) are characterized in a unified manner in terms of their images in the Stone space of ultrafilters. These characterizations involve closure structures on the set of ultrafilters. The case of productively Fréchet filters answers a question of S. Dolecki and turns out to be the only one involving a non topological closure structure. (English) |
| Keyword:
|
filters |
| Keyword:
|
ultrafilters |
| Keyword:
|
Frechet |
| Keyword:
|
closure spaces |
| MSC:
|
54A05 |
| MSC:
|
54A20 |
| MSC:
|
54D55 |
| idZBL:
|
Zbl 1174.54001 |
| idMR:
|
MR2356937 |
| . |
| Date available:
|
2009-09-24T11:51:21Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128223 |
| . |
| 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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| . |
