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Pemarks on Denjoy Sets

In: Mathematical Logic

Author

Listed:
  • O. Demuth

    (Charles University, Department of Computer Science)

Abstract

Denjoy sets are sets of natural numbers corresponding to reals which are interesting from the point of view of the theory of differentiation of constructive real functions. In this paper, some results concerning the structure of T- and tt-degrees containing Denjoy sets of a special type are presented. Methods of recursion theory and those of constructive mathematical analysis are combined in the proofs.

Suggested Citation

  • O. Demuth, 1990. "Pemarks on Denjoy Sets," Springer Books, in: Petio Petrov Petkov (ed.), Mathematical Logic, pages 267-280, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-0609-2_18
    DOI: 10.1007/978-1-4613-0609-2_18
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