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Some remarks on the algebraic structure of the Medvedev Lattice

Published online by Cambridge University Press:  12 March 2014

Andrea Sorbi
Andrea Sorbi*
Affiliation:
Dipartimento di Matematica, Università di Siena, 53100 Siena, Italy
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Abstract

This paper investigates the algebraic structure of the Medvedev lattice . We prove that is not a Heyting algebra. We point out some relations between and the Dyment lattice and the Mučnik lattice. Some properties of the degrees of enumerability are considered. We give also a result on embedding countable distributive lattices in the Medvedev lattice.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 55 , Issue 2 , June 1990 , pp. 831 - 853
Copyright
Copyright © Association for Symbolic Logic 1990

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