| Title:
|
On CCC boolean algebras and partial orders (English) |
| Author:
|
Hajnal, A. |
| Author:
|
Juhász, I. |
| Author:
|
Szentmiklóssy, Z. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
38 |
| Issue:
|
3 |
| Year:
|
1997 |
| Pages:
|
537-544 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We partially strengthen a result of Shelah from [Sh] by proving that if $\kappa =\kappa ^{\omega }$ and $P$ is a CCC partial order with e.g. $|P|\leq \kappa ^{+\omega }$ (the $\omega ^{\text{th}}$ successor of $\kappa $) and $|P|\leq 2^{\kappa }$ then $P$ is $\kappa $-linked. (English) |
| Keyword:
|
boolean algebra |
| Keyword:
|
partial order |
| Keyword:
|
CCC |
| MSC:
|
03E05 |
| MSC:
|
04A20 |
| MSC:
|
05C69 |
| MSC:
|
06A07 |
| MSC:
|
06E10 |
| idZBL:
|
Zbl 0938.06001 |
| idMR:
|
MR1485073 |
| . |
| Date available:
|
2009-01-08T18:35:59Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118950 |
| . |
| Reference:
|
[EK] Engelking R., Karlowicz M.: Some theorems of set-theory and their topological consequences.Fund. Math. 57 (1965), 275-286. Zbl 0137.41904, MR 0196693 |
| Reference:
|
[HJSh] Hajnal A., Juhász I., Shelah S.: Splitting strongly almost disjoint families.Transactions of the AMS 295 (1986), 369-387. MR 0831204 |
| Reference:
|
[HJSz] Hajnal A., Juhász I., Szentmiklóssy Z.: Compact CCC spaces of prescribed density.in: Combinatorics, P. Erdös is 80, Bolyai Soc. Math. Studies, Keszthely, 1993, pp.239-252. MR 1249715 |
| Reference:
|
[K] Kunen K.: Set Theory.North Holland, Amsterdam, 1979. Zbl 0960.03033, MR 0756630 |
| Reference:
|
[S] Shelah S.: Remarks on Boolean algebras.Algebra Universalis 11 (1980), 77-89. Zbl 0451.06015, MR 0593014 |
| . |
