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Interpolation of monotone functions in lattices

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Abstract

We show that for every latticeL 0 and for every cardinal κ there is a lattice\(L \supseteq L_0 \) on which every monotone function can be interpolated by a polynomial on any set of size κ.

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  1. Institut für Algebra und Diskrete Mathematik, Technische Universität, Wiedner Hauptstraβe 8-10/118.2, A-1040, Wien, Austria

    M. Goldstern

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  1. M. Goldstern
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Goldstern, M. Interpolation of monotone functions in lattices. Algebra Universalis 36, 108–121 (1996). https://doi.org/10.1007/BF01192711

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  • DOI: https://doi.org/10.1007/BF01192711

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