Index sets for \(\Pi^0_1\) classes
The authors present an effective enumeration of the \(\Pi_1^0\) classes and then investigate the index sets corresponding to various properties of \(\Pi_1^0\) classes. The paper deals with index sets arising in a wide range of contexts, from measure and category to logical theories to combinatorial questions. Particular attention is paid to boundedness of trees, with a couple of new versions of boundedness being introduced.
scientific article; zbMATH DE number 1308072
scientific article