# Partition properties of subsets of Pκλ

Fundamenta Mathematicae (1999)

- Volume: 161, Issue: 3, page 325-329
- ISSN: 0016-2736

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topShioya, Masahiro. "Partition properties of subsets of Pκλ." Fundamenta Mathematicae 161.3 (1999): 325-329. <http://eudml.org/doc/212409>.

@article{Shioya1999,

abstract = {Let κ > ω be a regular cardinal and λ > κ a cardinal. The following partition property is shown to be consistent relative to a supercompact cardinal: For any $f : ∪_\{n < ω\}[X]^\{n\}_⊂ → γ$ with $X⊂P_κλ$ unbounded and 1 < γ < κ there is an unbounded Y ∪ X with $|f^\{\prime \prime \}[Y]^n_⊂| = 1$ for any n < ω.},

author = {Shioya, Masahiro},

journal = {Fundamenta Mathematicae},

keywords = {forcing; partition property; supercompact cardinal},

language = {eng},

number = {3},

pages = {325-329},

title = {Partition properties of subsets of Pκλ},

url = {http://eudml.org/doc/212409},

volume = {161},

year = {1999},

}

TY - JOUR

AU - Shioya, Masahiro

TI - Partition properties of subsets of Pκλ

JO - Fundamenta Mathematicae

PY - 1999

VL - 161

IS - 3

SP - 325

EP - 329

AB - Let κ > ω be a regular cardinal and λ > κ a cardinal. The following partition property is shown to be consistent relative to a supercompact cardinal: For any $f : ∪_{n < ω}[X]^{n}_⊂ → γ$ with $X⊂P_κλ$ unbounded and 1 < γ < κ there is an unbounded Y ∪ X with $|f^{\prime \prime }[Y]^n_⊂| = 1$ for any n < ω.

LA - eng

KW - forcing; partition property; supercompact cardinal

UR - http://eudml.org/doc/212409

ER -

## References

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