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 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.