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A regular space with a countable network and different dimensions
Author(s):
George
Delistathis;
Stephen
Watson
Journal:
Trans. Amer. Math. Soc.
352
(2000),
4095-4111.
MSC (2000):
Primary 54F45, 54E20;
Secondary 54A25, 54G20
Posted:
April 19, 2000
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Abstract:
In this paper, we construct a regular space with a countable network (even the union of countably many separable metric subspaces) in which  and  do not coincide under the assumption of the continuum hypothesis (CH). This gives a consistent negative answer to a question of A.V. Arhangel'skii.
References:
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Additional Information:
George
Delistathis
Affiliation:
Department of Mathematics, York University, 4700 Keele St., North York, Ontario M3J 1P3 Canada
Stephen
Watson
Affiliation:
Department of Mathematics, York University, 4700 Keele St., North York, Ontario M3J 1P3 Canada
Email:
watson@mathstat.yorku.ca
DOI:
10.1090/S0002-9947-00-02473-9
PII:
S 0002-9947(00)02473-9
Received by editor(s):
February 16, 1996
Received by editor(s) in revised form:
November 18, 1998
Posted:
April 19, 2000
Copyright of article:
Copyright
2000,
American Mathematical Society
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