Axiomatic theory of partial continuous functions and the Peano curve

DOI10.1007/BF01125540zbMath0824.03033MaRDI QIDQ1895047

L. P. Lisovik

Publication date: 6 August 1995

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

zbMATH Keywords

Peano curveconstructive analysisCantor discontinuumapproximation axiomdegree of coveringlogical properties of partial continuous functionsmacrotransformers over labeled treessatisfiability of the iteration axiom

Mathematics Subject Classification ID

Constructive and recursive analysis (03F60) Singular functions, Cantor functions, functions with other special properties (26A30) Recursive functions and relations, subrecursive hierarchies (03D20) Constructive real analysis (26E40)

Related Items (4)

One-to-one mappings defined by finite transformers ⋮ Affine mappings defined by finite transducers ⋮ \(R^*\)-transformers and fractal curves ⋮ Real functions defined by transducers

Cites Work

• Macrotransducers on labeled trees and partially continuous operators
• Representation of linear functionals over partially continuous functions
• Classe of functions defined by transducers
• Algorithmic questions for real functions

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