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A Note On The Separability Of An Ordered Space
Published online by Cambridge University Press: 20 November 2018
Extract
An open interval of a simply ordered set S is a subset I of S such that either
(1) for some ,
(2) for some , or
(3) for some .
A simply ordered set with its interval topology (i.e., the topology in which “neighborhood of x” means “open interval containing x”) will be called an ordered space.
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- Copyright © Canadian Mathematical Society 1955