Splitting ω -covers

Winfried Just; Andreas Tanner

Commentationes Mathematicae Universitatis Carolinae (1997)

  • Volume: 38, Issue: 2, page 375-378
  • ISSN: 0010-2628

Abstract

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The authors give a ZFC example for a space with Split ( Ω , Ω ) but not Split ( Λ , Λ ) .

How to cite

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Just, Winfried, and Tanner, Andreas. "Splitting $\omega $-covers." Commentationes Mathematicae Universitatis Carolinae 38.2 (1997): 375-378. <http://eudml.org/doc/248071>.

@article{Just1997,
abstract = {The authors give a ZFC example for a space with $\text\{\it Split\}\hspace\{0.8pt\}(\Omega , \Omega )$ but not $\text\{\it Split\}\hspace\{0.8pt\}(\Lambda , \Lambda )$.},
author = {Just, Winfried, Tanner, Andreas},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$\omega $-cover; $\lambda $-cover; $\text\{\it Split\}\hspace\{0.8pt\}(\Omega , \Omega )$; $\text\{\it Split\}\hspace\{0.8pt\}(\Lambda , \Lambda )$; ultrafilter; large cover; -cover; ; ; ultrafilter; -Lindelöf space},
language = {eng},
number = {2},
pages = {375-378},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Splitting $\omega $-covers},
url = {http://eudml.org/doc/248071},
volume = {38},
year = {1997},
}

TY - JOUR
AU - Just, Winfried
AU - Tanner, Andreas
TI - Splitting $\omega $-covers
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 2
SP - 375
EP - 378
AB - The authors give a ZFC example for a space with $\text{\it Split}\hspace{0.8pt}(\Omega , \Omega )$ but not $\text{\it Split}\hspace{0.8pt}(\Lambda , \Lambda )$.
LA - eng
KW - $\omega $-cover; $\lambda $-cover; $\text{\it Split}\hspace{0.8pt}(\Omega , \Omega )$; $\text{\it Split}\hspace{0.8pt}(\Lambda , \Lambda )$; ultrafilter; large cover; -cover; ; ; ultrafilter; -Lindelöf space
UR - http://eudml.org/doc/248071
ER -

References

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  1. Just W., Miller A., Scheepers M., Szeptycki P., The combinatorics of open covers, Topology and its Applications, to appear. Zbl0870.03021
  2. Moschovakis Y.N., Descriptive Set Theory, North Holland, 1980. MR0561709
  3. Bartoszyński T., Judah H., Set Theory, A.K. Peters, 1995. MR1350295
  4. Blass A., A model without ultrafilters, Bull. Acad. Polon. Sci. 25 (1977), 4 329-331. (1977) Zbl0365.02054MR0476510

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