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Title: Reducibilities of sets based on constructive functions of a real variable (English)
Author: Demuth, Osvald
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 29
Issue: 1
Year: 1988
Pages: 143-156
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Category: math
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MSC: 03D30
MSC: 03F65
idZBL: Zbl 0646.03038
idMR: MR937557
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Date available: 2008-06-05T21:32:00Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106605
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Reference: [1] ROGERS H., Jr.: Theory of recursive functions and effective computability.McGraw-Hill, New York, 1967. Zbl 0183.01401, MR 0224462
Reference: [2] CEĬTIN G. S.: Algorithmic operators in constructive metric spaces.Trudy Mat. Inst. Steklov 67 (1962), 295-361; English transl. Amer. Math. Soc. Transl. (2) 64 (1967), 1-80. MR 0152426
Reference: [3] ZASLAVSKIĬ I. D.: Some properties of constructive real numbers and constructive functions.Trudy Mat. Inst. Steklov 67 (1962), 385-457; English transl. Amer. Math. Soc. Transl. (2) 57 (1966), 1-84. MR 0153555
Reference: [4] ZASLAVSKIĬ I. D., CEĬTIN G. S.: On singular coverings and related properties of constructive functions.Trudy Mat. Inst. Steklov 67 (1962), 458-502; English transl. Amer. Math. Soc. Transl. (2) 98 (1971), 41-89. MR 0152428
Reference: [5] KURTZ S. A.: Notions of weak genericity.J. Symbolic Logic 48 (1983), 764-770. Zbl 0549.03042, MR 0716638
Reference: [6] ODIFREDDI P.: Strong reducibilities.Bull. Amer. Math. Soc. 4 (1981), 37-86. Zbl 0484.03024, MR 0590818
Reference: [7] DEMUTH O., KRYL R., KUČERA A.: An application of the theory of functions partial recursive relative to number sets in constructive mathematics.(Russian), Acta Univ. Carolinae - Math, et Phys. 19 (1978), 15-60. MR 0509638
Reference: [8] DEMUTH O.: Some questions in the theory of constructive functions of a real variable.(Russian), Acta Univ. Carolinae - Math, et Phys. 19 (1978), 61-96. MR 0509639
Reference: [9] DEMUTH O.: On some classes of arithmetical real numbers.(Russian), Comment. Math. Univ. Carolinae 23 (1982), 453-465. Zbl 0519.03046, MR 0677854
Reference: [10] DEMUTH O.: On Borel types of some classes of arithmetical real numbers.(Russian), Comment. Math. Univ. Carolinae 23 (1982), 593-606. MR 0677866
Reference: [11] DEMUTH O.: A notion of semigenericity.Comment. Math. Univ. Carolinae 28 (1987), 71-84. Zbl 0645.03040, MR 0889769
Reference: [12] DEMUTH O., KUČERA A.: Remarks on 1-genericity, semigenericity and related concepts.Comment. Math. Univ. Carolinae 28 (1987), 85-94. MR 0889770
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