A ZFC Dowker space in 
: 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 
and weight 
is proved in ZFC using pcf theory.
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- 2. Zoltan T. Balogh, A normal screenable nonparacompact space in ZFC, Proc. Amer. Math. Soc. 126 (1998), 1835-1844. CMP 97:15
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- 5. M. Kojman, The A,B,C of pcf: a pcf companion, preprint.
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- 7. Mary Ellen Rudin, Dowker spaces, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp. 761–780. MR 776636
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for which 
is not normal, Fund. Math. 73 (1971) 189-186. Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 54B99, 54G99, 04A20, 04A30
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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
Email:
shelah@math.huji.ac.il
DOI:
https://doi.org/10.1090/S0002-9939-98-04884-9
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
Article copyright:
© Copyright 1998
American Mathematical Society
