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    Article

    More results in polychromatic Ramsey theory

    We study polychromatic Ramsey theory with a focus on colourings of [ω 2]2. We show that in the absence of GCH there is a wide range of possibilities. In particular each of the following is consist...

    Uri Abraham, James Cummings in Central European Journal of Mathematics (2012)

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    Article

    Poset algebras over well quasi-ordered posets

    A new class of partial order-types, class \({\mathcal{G}}^{+}_{bqo}\) is defined and investigated here. A poset P is ...

    Uri Abraham, Robert Bonnet, Wiesław Kubiś in Algebra universalis (2008)

  3. No Access

    Article

    Infinite games on finite sets

    We study a family of infinite games with imperfect information introduced by B. Model for two players that alternately remove and add points to a finite set. We investigate the existence of imperfect informati...

    Uri Abraham, Rene Schipperus in Israel Journal of Mathematics (2007)

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    Article

    On Jakovlev spaces

    A topological spaceX is called weakly first countable, if for every pointx there is a countable family {C n x |n ∈ω} such thatx ∈C ...

    Uri Abraham, Isaac Gorelic, István Juhász in Israel Journal of Mathematics (2006)

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    Article

    On Poset Boolean Algebras

    Let (P,≤) be a partially ordered set. The poset Boolean algebra of P, denoted F(P), is defined as follows: The set of generators of F(P) is {x p  : p∈P}, and the...

    Uri Abraham, Robert Bonnet, Wiesław Kubiś, Matatyahu Rubin in Order (2003)

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    Article

    On a superatomic Boolean algebra which is not generated by a well-founded sublattice

    Let b denote the unboundedness number of ωω. That is, b is the smallest cardinality of a subset \(F \subseteq \omega ^\omega \) ...

    Uri Abraham, Matatyahu Rubin, Robert Bonnet in Israel Journal of Mathematics (2001)

  7. No Access

    Article

    Martin's axiom and \(\Delta^2_1\) well-ordering of the reals

    Assuming an inaccessible cardinal \(\kappa\) , there is a generic extension in which \(MA + 2^{\aleph_0} = \kappa\) holds and the reals have a

    Uri Abraham, Saharon Shelah in Archive for Mathematical Logic (1996)

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    Article

    On system executions and states

    An approach for modeling dynamic situations where several processes execute concurrently is described. Using the concepts “system execution” and “pomset” defined by Lamport and Gischer, we address basic issues...

    Uri Abraham in Applied Intelligence (1993)

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    Article

    A note on Dilworth's theorem in the infinite case

    If ℘ is a poset and every antichain is finite, and if the length of the well-founded poset of antichains is less than ω2 1, then ℘ is the union of countably many chains. We also compute the length of the poset of...

    Uri Abraham in Order (1987)

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    Article

    Initial segments of the degrees of size ℵ1

    We settle a series of questions first raised by Yates at the Jerusalem (1968) Colloquium on Mathematical Logic by characterizing the initial segments of the degrees of unsolvability of size ℵ1: Every upper semi-l...

    Uri Abraham, Richard A. Shore in Israel Journal of Mathematics (1986)