Corpus ID: 119691659

Positive partition relations for P_{kappa,lambda}

@article{Matet2004PositivePR,
  title={Positive partition relations for P_\{kappa,lambda\}},
  author={P. Matet and S. Shelah},
  journal={arXiv: Logic},
  year={2004}
}
  • P. Matet, S. Shelah
  • Published 2004
  • Mathematics
  • arXiv: Logic
  • Let kappa a regular uncountable cardinal and lambda a cardinal >kappa, and suppose lambda^{ ^kappa (I_{kappa, lambda}^+,omega +1)^2, (b) I_{kappa, lambda}^+ -->^kappa [I_{kappa, lambda}^+]_{kappa^+}^2 if kappa is a limit cardinal, and (c) I_{kappa, lambda}^+ -->^kappa (I_{kappa, lambda}^+)^2 if kappa is weakly compact. 
    2 Citations
    On CON(Dominating_lambda > cov_\lambda(meagre))
    • 1
    • PDF
    Questions on Generalized Baire Spaces
    • 3
    • Highly Influenced
    • PDF

    References

    SHOWING 1-10 OF 14 REFERENCES
    On Successors of Singular Cardinals
    • 111
    Partition relations for ?-normal ideals on P ? ( ?)
    • 6
    A partition property of a mixed type for Pkappa(lambda)
    • P. Matet
    • Computer Science, Mathematics
    • Math. Log. Q.
    • 2003
    • 4
    The covering number for category and partition relations on $P_{ω}(λ)$
    • 4
    • PDF
    Cardinal Invariants Above the Continuum
    • 66
    • PDF
    Baire Numbers, Uncountable Cohen Sets and Perfect-Set Forcing
    • A. Landver
    • Mathematics, Computer Science
    • J. Symb. Log.
    • 1992
    • 14
    • Highly Influential
    Combinatorics and Forcing with Distributive Ideals
    • P. Matet
    • Mathematics, Computer Science
    • Ann. Pure Appl. Log.
    • 1997
    • 7
    • PDF
    Partitioning pairs of countable ordinals
    • 207
    • Highly Influential
    • PDF
    Structural properties of ideals
    • 39
    • Highly Influential