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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2012 Volume 407, Pages 17–34 (Mi znsl5484)

On some continuity theorem for constructive functions

A. A. Vladimirov

Dorodnitsyn Computing Center, Moscow, Russia

Abstract: One proves that any everywhere defined constructive mapping from a compact metric space into a complete metric space which preserves the property of precompacity of subsets is uniformly continuous.

Key words and phrases: constructive metric space, compacity, Hausdorff metric, uniform continuity.

UDC: 510.25

Received: 16.04.2012


 English version:
Journal of Mathematical Sciences (New York), 2014, 199:1, 6–15

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© Steklov Math. Inst. of RAS, 2025