Two results on special points
Fundamenta Mathematicae, Tome 176 (2003) no. 2, pp. 171-179
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We show that there is a nowhere ccc $\sigma $-compact space which has a remote point. We show that it is consistent to have a non-compact $\sigma $-compact separable space $X$ such that every point of the remainder is a limit of a countable discrete subset of non-isolated points of $X$. This example shows that one cannot prove in ZFC that every locally compact non-compact space has discrete weak $P$-points.
Keywords:
there nowhere ccc sigma compact space which has remote point consistent have non compact sigma compact separable space every point remainder limit countable discrete subset non isolated points example shows cannot prove zfc every locally compact non compact space has discrete weak p points
Affiliations des auteurs :
Alan Dow 1
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author = {Alan Dow},
title = {Two results on special points},
journal = {Fundamenta Mathematicae},
pages = {171--179},
publisher = {mathdoc},
volume = {176},
number = {2},
year = {2003},
doi = {10.4064/fm176-2-5},
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url = {http://geodesic.mathdoc.fr/articles/10.4064/fm176-2-5/}
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Alan Dow. Two results on special points. Fundamenta Mathematicae, Tome 176 (2003) no. 2, pp. 171-179. doi: 10.4064/fm176-2-5
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