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Banach-mazur computable functions on metric spaces

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2001) 2064 69-81
DOI: 10.1007/3-540-45335-0_5
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Abstract

We present Mazur’s continuity results for Banach-Mazur computable functions on computable real numbers in the slightly more general setting of metric spaces satisfying suitable computability conditions. Additionally, we prove that the image of a computable, computably convergent sequence under a Banach-Mazur computable function is again computably convergent.

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Hertling, P. (2001). Banach-mazur computable functions on metric spaces. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2064, pp. 69–81). Springer Verlag. https://doi.org/10.1007/3-540-45335-0_5

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