Introduces constructive Φ-dimension, proves its point-to-set principle and Kolmogorov complexity characterization, and establishes equivalence of faithfulness conditions for Cantor coverings between Hausdorff and constructive levels.
Randomness a nd effective dimension of contin- ued fractions
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Point-to-set Principle and Constructive Dimension Faithfulness
Introduces constructive Φ-dimension, proves its point-to-set principle and Kolmogorov complexity characterization, and establishes equivalence of faithfulness conditions for Cantor coverings between Hausdorff and constructive levels.