Local cut-points in continuous images of compact ordered spaces

Maehara, Ryuji

doi:10.1090/S0002-9939-1987-0877053-3

Local cut-points in continuous images of compact ordered spaces
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Proc. Amer. Math. Soc. 99 (1987), 760-764 Request permission

Abstract:

We prove that if a continuum $X$ is continuous image of a compact ordered space and if $X$ is not locally separable at a point $x$, then $x$ lies in the closure of the set of all local cut-points of $X$.

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