Totally proper forcing and the Moore-Mrówka problem
Fundamenta Mathematicae (2003)
- Volume: 177, Issue: 2, page 121-137
- ISSN: 0016-2736
Access Full Article
top
Abstract
topHow to cite
topTodd Eisworth. "Totally proper forcing and the Moore-Mrówka problem." Fundamenta Mathematicae 177.2 (2003): 121-137. <http://eudml.org/doc/282799>.
@article{ToddEisworth2003,
abstract = {We describe a totally proper notion of forcing that can be used to shoot uncountable free sequences through certain countably compact non-compact spaces. This is almost (but not quite!) enough to produce a model of ZFC + CH in which countably tight compact spaces are sequential-we still do not know if the notion of forcing described in the paper can be iterated without adding reals.},
author = {Todd Eisworth},
journal = {Fundamenta Mathematicae},
keywords = {compact space; sequential space; countable tightness; totally proper forcing; continuum hypothesis},
language = {eng},
number = {2},
pages = {121-137},
title = {Totally proper forcing and the Moore-Mrówka problem},
url = {http://eudml.org/doc/282799},
volume = {177},
year = {2003},
}
TY - JOUR
AU - Todd Eisworth
TI - Totally proper forcing and the Moore-Mrówka problem
JO - Fundamenta Mathematicae
PY - 2003
VL - 177
IS - 2
SP - 121
EP - 137
AB - We describe a totally proper notion of forcing that can be used to shoot uncountable free sequences through certain countably compact non-compact spaces. This is almost (but not quite!) enough to produce a model of ZFC + CH in which countably tight compact spaces are sequential-we still do not know if the notion of forcing described in the paper can be iterated without adding reals.
LA - eng
KW - compact space; sequential space; countable tightness; totally proper forcing; continuum hypothesis
UR - http://eudml.org/doc/282799
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.