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Countable Paracompactness and Souslin's Problem

Published online by Cambridge University Press:  20 November 2018

Mary Ellen Rudin
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1. Introduction. A linearly ordered space S in which neighborhoods are segments is called a Souslin space if

(i) S is not separable, but

(ii) every collection of disjoint segments of S is countable.

Whether a Souslin space exists is not known; this is the problem referred to in the title and was proposed by Souslin in (2).

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 543 - 547
Copyright
Copyright © Canadian Mathematical Society 1955

References

1. Dowker, C. H., On countably paracompact spaces, Can. J. Math., 3 (1951), 219–224.Google Scholar
2. Souslin, M., Problème 3, Fund. Math., 1 (1920), 223.Google Scholar