A perfect GO-space which cannot densely embed in any perfect orderable space

doi:10.1016/0166-8641(95)00031-B

Topology and its Applications

Volume 66, Issue 3, 13 October 1995, Pages 241-249

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Abstract

In this paper, we prove that there exists a perfect GO-space which cannot densely embed in any perfect orderable space. This result answers an open question: “Does every perfect GO-space have an orderable perfect space in which it densely embeds?”

Keywords

GO-space

LOTS

Orderable d-extension

Perfect GO-space

MSC

54G20

MSC

54C25

54D15

54E50

Cited by (0)

¹: Current address: Department of Mathematics, Shimane University, Matsue 690, Japan.