# On ${\omega}^{2}$-saturated families

Commentationes Mathematicae Universitatis Carolinae (1991)

- Volume: 32, Issue: 2, page 355-359
- ISSN: 0010-2628

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topSoukup, Lajos. "On $\omega ^2$-saturated families." Commentationes Mathematicae Universitatis Carolinae 32.2 (1991): 355-359. <http://eudml.org/doc/247267>.

@article{Soukup1991,

abstract = {If there is no inner model with measurable cardinals, then for each cardinal $\lambda $ there is an almost disjoint family $\mathcal \{A\}_\{\lambda \}$ of countable subsets of $\lambda $ such that every subset of $\lambda $ with order type $\ge \{\omega ^\{\scriptscriptstyle 2\}\}$ contains an element of $\mathcal \{A\}_\{\lambda \}$.},

author = {Soukup, Lajos},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {almost disjoint; saturated family; refinement; large cardinals; saturated family; covering lemma for ; almost disjoint family; inner model with a measurable cardinal},

language = {eng},

number = {2},

pages = {355-359},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {On $\omega ^2$-saturated families},

url = {http://eudml.org/doc/247267},

volume = {32},

year = {1991},

}

TY - JOUR

AU - Soukup, Lajos

TI - On $\omega ^2$-saturated families

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1991

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 32

IS - 2

SP - 355

EP - 359

AB - If there is no inner model with measurable cardinals, then for each cardinal $\lambda $ there is an almost disjoint family $\mathcal {A}_{\lambda }$ of countable subsets of $\lambda $ such that every subset of $\lambda $ with order type $\ge {\omega ^{\scriptscriptstyle 2}}$ contains an element of $\mathcal {A}_{\lambda }$.

LA - eng

KW - almost disjoint; saturated family; refinement; large cardinals; saturated family; covering lemma for ; almost disjoint family; inner model with a measurable cardinal

UR - http://eudml.org/doc/247267

ER -

## References

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