| Title:
|
On the existence of true uniform ultrafilters (English) |
| Author:
|
Simon, Petr |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
45 |
| Issue:
|
4 |
| Year:
|
2004 |
| Pages:
|
739-741 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We shall show that there is an ultrafilter on singular $\kappa$ with countable cofinality, which cannot be reached from the set of all subuniform ultrafilters by iterating the closure of sets of size $<\kappa$. (English) |
| Keyword:
|
uniform ultrafilter |
| Keyword:
|
linked family |
| MSC:
|
54A20 |
| MSC:
|
54D80 |
| MSC:
|
54G05 |
| idZBL:
|
Zbl 1099.54006 |
| idMR:
|
MR2103088 |
| . |
| Date available:
|
2009-05-05T16:48:48Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119498 |
| . |
| Reference:
|
[CN] Comfort W.W., Negrepontis S.: The Theory of Ultrafilters.Springer, New York, Heidelberg, Berlin (1974). Zbl 0298.02004, MR 0396267 |
| Reference:
|
[vD] van Douwen E.K.: Remote points.Dissertationes Math. 188 (1981), 1-45. Zbl 0525.54018, MR 0627526 |
| . |
