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Extensions of perfect GO-spaces
and $\sigma$-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: In this paper, we prove that if a perfect GO-space $X$ has a $ \sigma$-discrete dense set, then $X$ 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.

References [Enhancements On Off] (What's this?)

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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