Large cardinals and Dowker products
Good, Chris
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994), p. 515-522 / Harvested from Czech Digital Mathematics Library

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.

Publié le : 1994-01-01
Classification:  03E35,  03E55,  54D15,  54D20,  54G15
@article{118690,
     author = {Chris Good},
     title = {Large cardinals and Dowker products},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {35},
     year = {1994},
     pages = {515-522},
     zbl = {0816.03022},
     mrnumber = {1307277},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118690}
}
Good, Chris. Large cardinals and Dowker products. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 515-522. http://gdmltest.u-ga.fr/item/118690/

Bešlagić A. A Dowker product, Trans. Amer. Math. Soc. 292 (1985), 519-530. (1985) | MR 0808735

Bešlagić A. Another Dowker product, Top. Appl. 36 (1990), 553-264. (1990) | MR 1070704

Bešlagić A. Yet another Dowker product, preprint. | MR 1261168

Devlin K. Constructability, Springer Verlag Berlin (1984). (1984) | MR 0750828

Dodd A.J.; Jensen R. The covering lemma for K, Ann. Math. Logic 22 (1982), 1-30. (1982) | MR 0661475 | Zbl 0492.03014

Dowker C.H. On countably paracompact spaces, Canad. J. Math. 3 (1951), 219-224. (1951) | MR 0043446 | Zbl 0042.41007

Engelking R. General Topology, Heldermann Verlag Berlin (1989). (1989) | MR 1039321 | Zbl 0684.54001

Fleissner W.G. The normal Moore space conjecture and large cardinals, {in: [KV]} 733-760. | MR 0776635 | Zbl 0562.54039

Good C. Large cardinals and small Dowker spaces, to appear in Proc. Amer. Math. Soc. | MR 1216813 | Zbl 0821.03025

Kunen K. Set Theory, An Introduction to Independence Proofs, North Holland Amsterdam (1984). (1984) | MR 0756630

Kunen K.; Vaughan J.E. Eds. Handbook of Set-Theoretic Topology, North Holland Amsterdam (1984). (1984) | MR 0776619 | Zbl 0546.00022

Rudin M.E. Dowker spaces, in: [KV] 761-780. | MR 0776636 | Zbl 0566.54009

Rudin M.E.; Starbird M. Products with a metric factor, Gen. Top. Appl. 5 1975 235-248. (1975) | MR 0380709 | Zbl 0305.54010