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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Open images of orderable spaces


Authors: M. Hušek and W. Kulpa
Journal: Proc. Amer. Math. Soc. 88 (1983), 711-715
MSC: Primary 54C10; Secondary 06F30, 54F05
MathSciNet review: 702305
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Abstract: The class of open continuous images of orderable spaces is characterized, and it is shown that it contains all suborderable spaces. Several results concerning open images of metrizable spaces are generalized to higher cardinals, e.g., every completely linearly uniformizable space is an open continuous image of a Baire space $ {({\kappa ^\lambda })_\lambda }$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0702305-3
PII: S 0002-9939(1983)0702305-3
Keywords: Orderable space, suborderable space, linearly uniformizable space, caterpillar space, butterfly space, open image
Article copyright: © Copyright 1983 American Mathematical Society