Two results on special points

Alan Dow. "Two results on special points." Fundamenta Mathematicae 176.2 (2003): 171-179. <http://eudml.org/doc/283224>.

@article{AlanDow2003,
abstract = {We show that there is a nowhere ccc σ-compact space which has a remote point. We show that it is consistent to have a non-compact σ-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.},
author = {Alan Dow},
journal = {Fundamenta Mathematicae},
keywords = {discrete weak -points; remote points},
language = {eng},
number = {2},
pages = {171-179},
title = {Two results on special points},
url = {http://eudml.org/doc/283224},
volume = {176},
year = {2003},
}

TY - JOUR
AU - Alan Dow
TI - Two results on special points
JO - Fundamenta Mathematicae
PY - 2003
VL - 176
IS - 2
SP - 171
EP - 179
AB - We show that there is a nowhere ccc σ-compact space which has a remote point. We show that it is consistent to have a non-compact σ-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.
LA - eng
KW - discrete weak -points; remote points
UR - http://eudml.org/doc/283224
ER -