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Embedding finite lattices into the Σ20 enumeration degrees

Published online by Cambridge University Press:  12 March 2014

Steffen Lempp  and
Andrea Sorbi
Steffen Lempp
Affiliation:
University of Wisconsin, Department of Mathematics, Madison, WI 53706-1388, USA, E-mail: lempp@math.wisc.edu
Andrea Sorbi
Affiliation:
Università Di Siena, Dipartimento Di Matematica, 1-53100 Siena, Italy, E-mail: sorbi@unisi.it
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Abstract

We show that every finite lattice is embeddable into the Σ20 enumeration degrees via a lattice-theoretic embedding which preserves 0 and 1.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 67 , Issue 1 , March 2002 , pp. 69 - 90
Copyright
Copyright © Association for Symbolic Logic 2002

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References

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