A ZFC Dowker space in $\aleph _{\omega +1}$: An application of pcf theory to topology
Authors:
Menachem Kojman and Saharon Shelah
Journal:
Proc. Amer. Math. Soc. 126 (1998), 2459-2465
MSC (1991):
Primary 54B99, 54G99; Secondary 04A20, 04A30
DOI:
https://doi.org/10.1090/S0002-9939-98-04884-9
MathSciNet review:
1605988
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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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- Maxim R. Burke and Menachem Magidor, Shelah’s ${\rm pcf}$ theory and its applications, Ann. Pure Appl. Logic 50 (1990), no. 3, 207–254. MR 1086455, DOI https://doi.org/10.1016/0168-0072%2890%2990057-9
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Additional Information
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
MR Author ID:
160185
ORCID:
0000-0003-0462-3152
Email:
shelah@math.huji.ac.il
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
Article copyright:
© Copyright 1998
American Mathematical Society
