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

โœ Scribed by Shi Wei-Xue; Takuo Miwa; Gao Yin-Zhu


Book ID
118396636
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
564 KB
Volume
66
Category
Article
ISSN
0166-8641

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๐Ÿ“œ SIMILAR VOLUMES


Perfect GO-spaces which have a perfect l
โœ Wei-Xue Shi ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 697 KB

It is an old problem posed by Bennett and Lutzer whether every perfect GO-space has a perfect orderable extension. As an approach to this problem, we prove that, for a perfect GO-space X, X has a perfect linearly ordered extension if and only if there is a o-discrete subset F such that GOx (0, X -F,