Extensions of perfect GO-spaces and sigma-discrete dense sets

Authors
Shi, WX
Citation
Wx. Shi, Extensions of perfect GO-spaces and sigma-discrete dense sets, P AM MATH S, 127(2), 1999, pp. 615-618
Citations number
8
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
2
Year of publication
1999
Pages
615 - 618
Database
ISI
SICI code
0002-9939(199902)127:2<615:EOPGAS>2.0.ZU;2-#
Abstract
In this paper, we prove that if a perfect GO-space X has a sigma-discrete d ense set, then X has a perfect linearly ordered extension. This answers a p roblem 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.