A small Dowker space in ZFC-Reference-Cited by-同舟云学术

A small Dowker space in ZFC

Published:1996 Issue:8 Volume:124 Page:2555-2560
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Balogh Zoltan

Abstract

We construct a hereditarily normal topological space whose product with the unit interval is not normal. The space is σ \sigma -relatively discrete and has cardinality of the continuum c \mathfrak {c} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-08/S0002-9939-96-03610-6/S0002-9939-96-03610-6.pdf

Reference19 articles.

1. There is a 𝑄-set space in ZFC;Balogh, Zoltán T.;Proc. Amer. Math. Soc.,1991

2. On the combinatorial principle 𝑃(𝔠);Bell, Murray G.;Fund. Math.,1981

3. A collectionwise normal weakly 𝜃-refinable Dowker space which is neither irreducible nor realcompact;de Caux, Peter,1977

4. Annihilator ideals and representation iteration for abstract rings;Everett, C. J., Jr.;Duke Math. J.,1939

5. Normal Moore spaces in the constructible universe;Fleissner, William;Proc. Amer. Math. Soc.,1974

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