Extensions of perfect GO-spaces
and -discrete dense sets
Author:
Wei-Xue Shi
Journal:
Proc. Amer. Math. Soc. 127 (1999), 615-618
MSC (1991):
Primary 54F05, 54D35; Secondary 54F65, 54A10.
DOI:
https://doi.org/10.1090/S0002-9939-99-04554-2
MathSciNet review:
1468203
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Abstract | References | Similar Articles | Additional Information
Abstract: In this paper, we prove that if a perfect GO-space has a
-discrete dense set, then
has a perfect linearly ordered extension. This answers a problem raised by H. R. Bennett, D. J. Lutzer and S. Purisch. And the result is also a partial answer to an old problem posed by H. R. Bennett and D. J. Lutzer.
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Additional Information
Wei-Xue Shi
Affiliation:
Department of Mathematics, Changchun Teachers College, Changchun 130032, China
Address at time of publication:
Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki 305, Japan
Email:
shi@abel.math.tsukuba.ac.jp
DOI:
https://doi.org/10.1090/S0002-9939-99-04554-2
Keywords:
$\sigma$-discrete set,
perfect,
LOTS,
GO-space,
extension
Received by editor(s):
January 7, 1997
Received by editor(s) in revised form:
May 26, 1997
Communicated by:
Alan Dow
Article copyright:
© Copyright 1999
American Mathematical Society