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Extensions of perfect GO-spaces and -discrete dense sets
Authors:Wei-Xue Shi
Affiliation:Department of Mathematics, Changchun Teachers College, Changchun 130032, China
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.

Keywords:$sigma$-discrete set   perfect   LOTS   GO-space   extension
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