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Preprint Series 1999

  • 1999:14 V. Buslaev

    The paper is dedicated to the generalizations and applications of Poincaré's theorem on recurrence equations with limit constant coefficients. In particular, applications in the theory of continued fractions, mainly to problems related with Van Vleck’s theorem on regular C-fractions with limit constant coefficients are considered. Special attention is ...

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  • 1999:13 R. Howard, G. Károlyi, and L. Székely

    We study the possibility of the existence of a Katona type proof for the Erdős-Ko-Rado theorem for 2- and 3-intersecting families of sets. An Erdős-Ko-Rado type theorem for 2-intersecting integer arithmetic progressions and a model theoretic argument show that such an approach works in the 2-intersecting case.

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  • 1999:12 S. Dilworth, R. Howard, and J. Roberts

    Let X be a normed space. A set $A\subseteq{X}$ is approximately convex if $d(ta+(1-t)b,A)\leq1$ for all $a,b\in{A}$ and $t\in[0,1]$. We prove that every n-dimensional normed space contains approximately convex sets A with $H(A,\textrm{Co ...

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