Definability, automorphisms, and dynamic properties of computably enumerable sets

Bulletin of Symbolic Logic 2 (2):199-213 (1996)
We announce and explain recent results on the computably enumerable (c.e.) sets, especially their definability properties (as sets in the spirit of Cantor), their automorphisms (in the spirit of Felix Klein's Erlanger Programm), their dynamic properties, expressed in terms of how quickly elements enter them relative to elements entering other sets, and the Martin Invariance Conjecture on their Turing degrees, i.e., their information content with respect to relative computability (Turing reducibility)
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DOI 10.2307/421110
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S. Barry Cooper (2010). Extending and Interpreting Post's Programme. Annals of Pure and Applied Logic 161 (6):775-788.
Peter A. Cholak, Peter M. Gerdes & Karen Lange (2012). On N-Tardy Sets. Annals of Pure and Applied Logic 163 (9):1252-1270.
Rebecca Weber (2011). Degree Invariance in the [Image] Classes. Journal of Symbolic Logic 76 (4):1184 - 1210.

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