Proceedings of the American Mathematical Society

A ZFC Dowker space in $\aleph _{\omega+1}$ : An application of pcf theory to topology

Author(s): Menachem Kojman; Saharon Shelah
Journal: Proc. Amer. Math. Soc. 126 (1998), 2459-2465.
MSC (1991): Primary 54B99, 54G99; Secondary 04A20, 04A30
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Abstract: The existence of a Dowker space of cardinality $\aleph _{\omega+1}$ and weight $\aleph _{\omega+1}$ is proved in ZFC using pcf theory.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 54B99, 54G99, 04A20, 04A30

Menachem Kojman
Affiliation: Department of Mathematics, Carnegie-Mellon University, Pittsburgh, Pennsylvania 15213
Address at time of publication: Department of Mathematics, Ben Gurion University of the Negev, POB 653, 84105 Beer-Sheva, Israel
Email: kojman@math.bgu.ac.il

Saharon Shelah
Affiliation: Institute of Mathematics, The Hebrew University of Jerusalem, and Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
Email: shelah@math.huji.ac.il

DOI: 10.1090/S0002-9939-98-04884-9
PII: S 0002-9939(98)04884-9
Keywords: ZFC, Dowker space, cardinality, pcf theory
Received by editor(s): June 15, 1996
Additional Notes: The second author's research was supported by ``The Israel Science Foundation'' administered by The Israel Academy of Sciences and Humanities. Publication 609.
Communicated by: Franklin D. Tall
Copyright of article: Copyright 1998, American Mathematical Society

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