# Partition properties of ω1 compatible with CH

Fundamenta Mathematicae (1997)

- Volume: 152, Issue: 2, page 165-181
- ISSN: 0016-2736

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topAbraham, Uri, and Todorčević, Stevo. "Partition properties of ω1 compatible with CH." Fundamenta Mathematicae 152.2 (1997): 165-181. <http://eudml.org/doc/212204>.

@article{Abraham1997,

abstract = {A combinatorial statement concerning ideals of countable subsets of ω is introduced and proved to be consistent with the Continuum Hypothesis. This statement implies the Suslin Hypothesis, that all (ω, ω*)-gaps are Hausdorff, and that every coherent sequence on ω either almost includes or is orthogonal to some uncountable subset of ω.},

author = {Abraham, Uri, Todorčević, Stevo},

journal = {Fundamenta Mathematicae},

keywords = {Continuum hypothesis; Suslin hypothesis; Hausdorff gaps; ideal; Suslin trees; coherent sequence; iterated forcing; consistency},

language = {eng},

number = {2},

pages = {165-181},

title = {Partition properties of ω1 compatible with CH},

url = {http://eudml.org/doc/212204},

volume = {152},

year = {1997},

}

TY - JOUR

AU - Abraham, Uri

AU - Todorčević, Stevo

TI - Partition properties of ω1 compatible with CH

JO - Fundamenta Mathematicae

PY - 1997

VL - 152

IS - 2

SP - 165

EP - 181

AB - A combinatorial statement concerning ideals of countable subsets of ω is introduced and proved to be consistent with the Continuum Hypothesis. This statement implies the Suslin Hypothesis, that all (ω, ω*)-gaps are Hausdorff, and that every coherent sequence on ω either almost includes or is orthogonal to some uncountable subset of ω.

LA - eng

KW - Continuum hypothesis; Suslin hypothesis; Hausdorff gaps; ideal; Suslin trees; coherent sequence; iterated forcing; consistency

UR - http://eudml.org/doc/212204

ER -

## References

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