# 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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- Shapirovskii B. (presented by P.Nyikos and J.Vaughan), The Equivalence of Sequential Compactness and Pseudoradialness in the Class of Compact ${T}_{2}$ Spaces, Assuming CH, Papers on General Topology and Applications, Annals of the New York Academy of Sciences 704, 1993, pp. 322-327. MR1277868
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