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Computable metrics above the standard real metric

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Publication:2033336
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DOI10.33048/semi.2021.18.027OpenAlexW3200093975MaRDI QIDQ2033336

R. A. Kornev

Publication date: 17 June 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2021.18.027


zbMATH Keywords

computable analysiscomputable metric spacerepresentation of real numbersCauchy representationreducibility of representations


Mathematics Subject Classification ID

Constructive and recursive analysis (03F60)


Related Items

A semilattice of degrees of computable metrics ⋮ On the maximality of degrees of metrics under computable reducibility ⋮ Computable reducibility of metrics on the reals



Cites Work

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  • Embeddings into the Medvedev and Muchnik lattices of \(\Pi^0_1\) classes
  • Theory of representations
  • Computational complexity of real functions
  • Reducibility of computable metrics on the real line
  • Algorithmic Randomness and Complexity
  • Degrees of unsolvability of continuous functions
  • Computably Isometric Spaces
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