| Title:
|
Sequential convergences on Boolean algebras defined by systems of maximal filters (English) |
| Author:
|
Frič, Roman |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
51 |
| Issue:
|
2 |
| Year:
|
2001 |
| Pages:
|
261-274 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study sequential convergences defined on a Boolean algebra by systems of maximal filters. We describe the order properties of the system of all such convergences. We introduce the category of 2-generated convergence Boolean algebras and generalize the construction of Novák sequential envelope to such algebras. (English) |
| Keyword:
|
sequential convergence on Boolean algebras |
| Keyword:
|
2-generated convergence |
| Keyword:
|
2-embedded Boolean algebra |
| Keyword:
|
absolutely sequentially closed Boolean algebra |
| MSC:
|
06E15 |
| MSC:
|
54A20 |
| MSC:
|
54B30 |
| MSC:
|
54H12 |
| idZBL:
|
Zbl 0976.54003 |
| idMR:
|
MR1844309 |
| . |
| Date available:
|
2009-09-24T10:42:14Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127646 |
| . |
| Reference:
|
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| . |
