A new Lindelöf space with points
Commentationes Mathematicae Universitatis Carolinae (2015)
- Volume: 56, Issue: 2, page 223-230
- ISSN: 0010-2628
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topDow, Alan S.. "A new Lindelöf space with points $G_\delta $." Commentationes Mathematicae Universitatis Carolinae 56.2 (2015): 223-230. <http://eudml.org/doc/270089>.
@article{Dow2015,
abstract = {We prove that $\diamondsuit ^*$ implies there is a zero-dimensional Hausdorff Lindelöf space of cardinality $2^\{\aleph _1\}$ which has points $G_\delta $. In addition, this space has the property that it need not be Lindelöf after countably closed forcing.},
author = {Dow, Alan S.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Lindelöf; forcing; Lindelöf; forcing; destructible space; },
language = {eng},
number = {2},
pages = {223-230},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A new Lindelöf space with points $G_\delta $},
url = {http://eudml.org/doc/270089},
volume = {56},
year = {2015},
}
TY - JOUR
AU - Dow, Alan S.
TI - A new Lindelöf space with points $G_\delta $
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2015
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 56
IS - 2
SP - 223
EP - 230
AB - We prove that $\diamondsuit ^*$ implies there is a zero-dimensional Hausdorff Lindelöf space of cardinality $2^{\aleph _1}$ which has points $G_\delta $. In addition, this space has the property that it need not be Lindelöf after countably closed forcing.
LA - eng
KW - Lindelöf; forcing; Lindelöf; forcing; destructible space;
UR - http://eudml.org/doc/270089
ER -
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