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Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

A small Dowker space in ZFC

Author(s): Zoltan T. Balogh
Journal: Proc. Amer. Math. Soc. 124 (1996), 2555-2560.
MSC (1991): Primary 54D15, 54D20
MathSciNet review: 1353374
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Abstract | References | Similar articles | Additional information

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

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Additional Information:

Zoltan T. Balogh
Affiliation: Department of Mathematics and Statistics, Miami University, Oxford, Ohio 45056
Email: ztbalogh@miavx1.acs.muohio.edu

DOI: 10.1090/S0002-9939-96-03610-6
PII: S 0002-9939(96)03610-6
Keywords: Small Dowker space, hereditarily normal, elementary submodel
Received by editor(s): March 23, 1994
Additional Notes: Research supported by NSF Grant DMS - 9108476.
Communicated by: Franklin D. Tall
Copyright of article: Copyright 1996, American Mathematical Society




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