Atomlessr-maximal sets |
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| Authors: | Peter A Cholak André Nies |
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| Institution: | (1) Department of Mathematics, University of Notre Dame, 46556-5683 Notre Dame, IN, USA;(2) Department of Mathematics, University of Chicago, 60637 Chicago, IL, USA |
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| Abstract: | We focus on
% MathType!End!2!1!(A), the filter of supersets ofA in the structure of the computably enumerable sets under the inclusion relation, whereA is an atomlessr-maximal set. We answer a long-standing question by showing that there are infinitely many pairwise non-isomorphic filters
of this type.
Research partially supported NSF Grants DMS-96-3465 (Cholak) and DMS-95-00983 (Nies). The authors would like to thank Mike
Stob for his help and interest. |
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