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Intervals of the Muchnik lattice

Volume 241 / 2018

Brian Rice Fundamenta Mathematicae 241 (2018), 109-126 MSC: Primary 03D30; Secondary 03G10. DOI: 10.4064/fm146-6-2017 Published online: 18 December 2017

Abstract

Answering a question raised by Terwijn, we give a lattice-theoretic characterization of the intervals of the Muchnik lattice as a subset of the distributive lattices, valid for all intervals satisfying a cardinality constraint on the size of antichains.

Authors

  • Brian RiceDepartment of Mathematics and Computer Science
    Huntington University
    2303 College Avenue
    Huntington, IN 46750, U.S.A.
    e-mail

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