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Uniform regular enumerations

Published online by Cambridge University Press:  11 October 2006

IVAN SOSKOV  and
BOGOMIL KOVACHEV
IVAN SOSKOV
Affiliation:
Faculty of Mathematics and Computer Science, Sofia University, 5 James Bourchier Blvd., 1164 Sofia, Bulgaria Email: [email protected]
BOGOMIL KOVACHEV
Affiliation:
Faculty of Mathematics and Computer Science, Sofia University, 5 James Bourchier Blvd., 1164 Sofia, Bulgaria Email: [email protected]
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Abstract

In the paper we introduce and study the uniform regular enumerations for arbitrary recursive ordinals. As an application of the technique, we obtain a uniform generalisation of a theorem of Ash and a characterisation of a class of uniform operators on transfinite sequences of sets of natural numbers.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 16 , Issue 5 , October 2006 , pp. 901 - 924
Copyright
2006 Cambridge University Press

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