| Title:
|
Large cardinals and Dowker products (English) |
| Author:
|
Good, Chris |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
515-522 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that if there is a model of set-theory which contains no first countable, locally compact, scattered, countably paracompact space $X$, whose Tychonoff square is a Dowker space, then there is an inner model which contains a measurable cardinal. (English) |
| Keyword:
|
small Dowker space |
| Keyword:
|
Dowker product |
| Keyword:
|
normality |
| Keyword:
|
countable paracompactness |
| Keyword:
|
measurable cardinal |
| Keyword:
|
Covering Lemma |
| MSC:
|
03E35 |
| MSC:
|
03E55 |
| MSC:
|
54D15 |
| MSC:
|
54D20 |
| MSC:
|
54G15 |
| idZBL:
|
Zbl 0816.03022 |
| idMR:
|
MR1307277 |
| . |
| Date available:
|
2009-01-08T18:12:50Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118690 |
| . |
| Reference:
|
[B1] Bešlagić A.: A Dowker product.Trans. Amer. Math. Soc. 292 (1985), 519-530. MR 0808735 |
| Reference:
|
[B2] Bešlagić A.: Another Dowker product.Top. Appl. 36 (1990), 553-264. MR 1070704 |
| Reference:
|
[B3] Bešlagić A.: Yet another Dowker product.preprint. MR 1261168 |
| Reference:
|
[Dv] Devlin K.: Constructability.Springer Verlag Berlin (1984). MR 0750828 |
| Reference:
|
[DJ] Dodd A.J., Jensen R.: The covering lemma for K.Ann. Math. Logic 22 (1982), 1-30. Zbl 0492.03014, MR 0661475 |
| Reference:
|
[Dk] Dowker C.H.: On countably paracompact spaces.Canad. J. Math. 3 (1951), 219-224. Zbl 0042.41007, MR 0043446 |
| Reference:
|
[E] Engelking R.: General Topology.Heldermann Verlag Berlin (1989). Zbl 0684.54001, MR 1039321 |
| Reference:
|
[F] Fleissner W.G.: The normal Moore space conjecture and large cardinals.{in: [KV]} 733-760. Zbl 0562.54039, MR 0776635 |
| Reference:
|
[G] Good C.: Large cardinals and small Dowker spaces.to appear in Proc. Amer. Math. Soc. Zbl 0821.03025, MR 1216813 |
| Reference:
|
[K] Kunen K.: Set Theory, An Introduction to Independence Proofs.North Holland Amsterdam (1984). MR 0756630 |
| Reference:
|
[KV] Kunen K., Vaughan J.E. eds.: Handbook of Set-Theoretic Topology.North Holland Amsterdam (1984). Zbl 0546.00022, MR 0776619 |
| Reference:
|
[R] Rudin M.E.: Dowker spaces.in: [KV] 761-780. Zbl 0566.54009, MR 0776636 |
| Reference:
|
[RS] Rudin M.E., Starbird M.: Products with a metric factor.Gen. Top. Appl. 5 1975 235-248. Zbl 0305.54010, MR 0380709 |
| . |
