A compact ccc non-separable space from a Hausdorff gap and Martin's Axiom
Commentationes Mathematicae Universitatis Carolinae (1996)
- Volume: 37, Issue: 3, page 589-594
- ISSN: 0010-2628
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topBell, Murray G.. "A compact ccc non-separable space from a Hausdorff gap and Martin's Axiom." Commentationes Mathematicae Universitatis Carolinae 37.3 (1996): 589-594. <http://eudml.org/doc/247935>.
@article{Bell1996,
abstract = {We answer a question of I. Juhasz by showing that MA $+ \lnot $ CH does not imply that every compact ccc space of countable $\pi $-character is separable. The space constructed has the additional property that it does not map continuously onto $I^\{\omega _1\}$.},
author = {Bell, Murray G.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {ccc; non-separable; Hausdorff gap; $\pi $-character; Martin axiom; separability; compactness},
language = {eng},
number = {3},
pages = {589-594},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A compact ccc non-separable space from a Hausdorff gap and Martin's Axiom},
url = {http://eudml.org/doc/247935},
volume = {37},
year = {1996},
}
TY - JOUR
AU - Bell, Murray G.
TI - A compact ccc non-separable space from a Hausdorff gap and Martin's Axiom
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 3
SP - 589
EP - 594
AB - We answer a question of I. Juhasz by showing that MA $+ \lnot $ CH does not imply that every compact ccc space of countable $\pi $-character is separable. The space constructed has the additional property that it does not map continuously onto $I^{\omega _1}$.
LA - eng
KW - ccc; non-separable; Hausdorff gap; $\pi $-character; Martin axiom; separability; compactness
UR - http://eudml.org/doc/247935
ER -
References
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