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Proceedings of the American Mathematical Society

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

 

 

On the weight and pseudoweight of linearly ordered topological spaces


Author: Klaas Pieter Hart
Journal: Proc. Amer. Math. Soc. 82 (1981), 501-502
MSC: Primary 54A25; Secondary 54F05
DOI: https://doi.org/10.1090/S0002-9939-1981-0612749-4
MathSciNet review: 612749
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Abstract: We derive a simple formula for the weight of a LOTS using the pseudoweight. As an application we give a very short proof of the nonorderability of the Sorgenfrey-line.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0612749-4
Keywords: LOTS, Sorgenfrey-line, Michael-line, Souslin-line, weight, pseudoweight, $ \psi $-base
Article copyright: © Copyright 1981 American Mathematical Society