摘要：We consider real sequences in I = [0, 1) and real functions on I. It is first shown that, as for real sequences from I, R-computability (computability with respect to the Euclidean topology) implies “ weak Fine-computability.” Using this result, we show that “ Finesequential computability” and “ -sequential computability” are equivalent for effectively locally Fine-continuous functions as well as for Fine-continuous functions.
关键词：Effective Fine Space, Effective Fine-continuous Function, Fine-sequential Computability of a Function, Limiting Recursion, Weakly Fine-computable Sequence
