| Title:
|
Measurable cardinals and category bases (English) |
| Author:
|
Szymański, Andrzej |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
405-409 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that the existence of a non-trivial category base on a set of regular cardinality with each subset being Baire is equiconsistent to the existence of a measurable cardinal. (English) |
| Keyword:
|
category base |
| Keyword:
|
precipitous ideal |
| Keyword:
|
measurable cardinal |
| MSC:
|
03E35 |
| MSC:
|
03E55 |
| MSC:
|
28A05 |
| MSC:
|
28E15 |
| MSC:
|
54A35 |
| MSC:
|
54E52 |
| idZBL:
|
Zbl 0766.54030 |
| idMR:
|
MR1137803 |
| . |
| Date available:
|
2009-01-08T17:45:25Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116983 |
| . |
| Reference:
|
[J] Jech T.: Set Theory.Academic Press, 1978. Zbl 1007.03002, MR 0506523 |
| Reference:
|
[JP] Jech T., Magidor M., Mitchell W., Prikry K.: Precipitous ideals.Journal of Symbolic Logic 45 1-8. Zbl 0437.03026, MR 0560220 |
| Reference:
|
[KT] Kunen K., Szymański A., Tall F.: Baire irresolvable spaces and ideal theory.Acta Math. Silesiana, No. 14 (1986), 98-107. MR 0861505 |
| Reference:
|
[M1] Morgan J.C.II: Point Set Theory.Marcel Dekker, Inc., 1990. Zbl 0937.26519, MR 1026014 |
| Reference:
|
[S] Solovay R.: Real valued measurable cardinals.in Axiomatic Set Theory, Proc. Symp. Pure Math. 13.1 (D. Scott ed.), 397-428, Amer. Math. Soc., 1971. Zbl 0222.02078, MR 0290961 |
| . |
