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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Scattered compactifications and the orderability of scattered spaces. II


Author: S. Purisch
Journal: Proc. Amer. Math. Soc. 95 (1985), 636-640
MSC: Primary 54F05; Secondary 06A05, 54D35
DOI: https://doi.org/10.1090/S0002-9939-1985-0810177-3
MathSciNet review: 810177
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Abstract: A space is suborderable if it is embeddable in a (totally) orderable space. It is shown that a suborderable scattered space is orderable and admits an orderable scattered compactification.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1985-0810177-3
Keywords: Totally orderable, suborderable, GO space, scattered, ordered compactification, scattered compactification, length, $ Q$-gap, pseudogap
Article copyright: © Copyright 1985 American Mathematical Society