We show, in particular, that every remote point of $X$ is a nonnormality point of $\beta X$ if $X$ is a locally compact Lindelöf separable space without isolated points and $\pi w(X)\leq \omega _{1}$.
@article{119252,
author = {Sergei Logunov},
title = {On remote points, non-normality and $\pi$-weight $\omega\_1$},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {42},
year = {2001},
pages = {379-384},
zbl = {1053.54031},
mrnumber = {1832156},
language = {en},
url = {http://dml.mathdoc.fr/item/119252}
}
Logunov, Sergei. On remote points, non-normality and $\pi$-weight $\omega_1$. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) pp. 379-384. http://gdmltest.u-ga.fr/item/119252/
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