10 found
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  1.  22
    A diamond example of an ordinal graph with no infinite paths.James E. Baumgartner & Jean A. Larson - 1990 - Annals of Pure and Applied Logic 47 (1):1-10.
  2.  28
    The number of one-generated cylindric set algebras of dimension greater than two.Jean A. Larson - 1985 - Journal of Symbolic Logic 50 (1):59-71.
    S. Ulam asked about the number of nonisomorphic projective algebras with k generators. This paper answers his question for projective algebras of finite dimension at least three and shows that there are the maximum possible number, continuum many, of nonisomorphic one-generated structures of finite dimension n, where n is at least three, of the following kinds: projective set algebras, projective algebras, diagonal-free cylindric set algebras, diagonal-free cylindric algebras, cylindric set algebras, and cylindric algebras. The results of this paper extend earlier (...)
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  3. Set Theory: Techniques and Applications.Carlos Augusto Di Prisco, Jean A. Larson, Joan Bagaria & A. R. D. Mathias - 2000 - Studia Logica 66 (3):426-428.
  4.  12
    Ramsey Theory for Countable Binary Homogeneous Structures.Jean A. Larson - 2005 - Notre Dame Journal of Formal Logic 46 (3):335-352.
    Countable homogeneous relational structures have been studied by many people. One area of focus is the Ramsey theory of such structures. After a review of background material, a partition theorem of Laflamme, Sauer, and Vuksanovic for countable homogeneous binary relational structures is discussed with a focus on the size of the set of unavoidable colors.
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  5.  26
    An ordinal partition avoiding pentagrams.Jean A. Larson - 2000 - Journal of Symbolic Logic 65 (3):969-978.
    Suppose that α = γ + δ where $\gamma \geq \delta > 0$ . Then there is a graph G = (ω ω α ,E) which has no independent set of order type ω ω α and has no pentagram (a pentagram is a set of five points with all pairs joined by edges). In the notation of Erdos and Rado, who generalized Ramsey's Theorem to this setting, $\omega^{\omega^\alpha} \nrightarrow (\omega^{\omega^\alpha},5)^2.$.
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  6.  12
    Partition relations on a plain product order type.Jean A. Larson - 2006 - Annals of Pure and Applied Logic 144 (1-3):117-125.
    The goal of this short note is to interest set theorists in the order type ω*ω1, and to encourage them to work on the question of whether or not the Continuum Hypothesis decides the partition relation τ→2, for τ=ω*ω1 and for τ=ω1ω+2.
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  7.  15
    Grantham S. B.. Galvin's “racing pawns” game and a well-ordering of trees. Memoirs of the American Mathematical Society, no. 316. American Mathematical Society, Providence 1985, iv + 63 pp. [REVIEW]Jean A. Larson - 1990 - Journal of Symbolic Logic 55 (3):1310-1311.
  8.  15
    Hanf W.. On a problem of Erdös and Tarski. Fundamenta mathematicae, vol. 53 no. 3 , pp. 325–334.Monk D. and Scott D.. Additions to some results of Erdös and Tarski. Fundamenta mathematicae, vol. 53 no. 3 , pp. 335–343.Hajnal A.. Remarks on the theory of W. P. Hanf. Fundamenta mathematicae vol. 54 no. 1 , pp. 109–113. [REVIEW]Jean A. Larson - 1974 - Journal of Symbolic Logic 39 (2):332-332.
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  9.  25
    Review: S. B. Grantham, Galvin's "Racing Pawns" Game and a Well-Ordering of Trees. [REVIEW]Jean A. Larson - 1990 - Journal of Symbolic Logic 55 (3):1310-1311.
  10.  13
    Review: W. Hanf, On a Problem of Erdos and Tarski; D. Monk, D. Scott, Additions to Some Results of Erdos and Tarski; A. Hajnal, Remarks on the Theory of W. P. Hanf. [REVIEW]Jean A. Larson - 1974 - Journal of Symbolic Logic 39 (2):332-332.
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