ON THE MAXIMALITY OF DEGREES OF METRICS UNDER COMPUTABLE REDUCIBILITY Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2022, Volume: 19, Number: 1, Pages: 248-258 Pages count : 11 DOI: 10.33048/semi.2022.19.019 | ||
| Tags | Cauchy representation; computable analysis; computable metric space; reducibility of representations | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Foundation for Basic Research | 20-51-50001 |
Abstract:
We study the semilattice CMc(X) of degrees of computable metrics on a Polish space X under computable reducibility. It is proved that this semilattice does not have maximal elements if X is a noncompact space. It is also shown that the degree of the standard metric on the unit interval is maximal in the respective semilattice. © 2022. Kornev R. All Rights Reserved.
Cite:
Kornev R.A.
ON THE MAXIMALITY OF DEGREES OF METRICS UNDER COMPUTABLE REDUCIBILITY
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2022. V.19. N1. P.248-258. DOI: 10.33048/semi.2022.19.019 WOS Scopus РИНЦ
ON THE MAXIMALITY OF DEGREES OF METRICS UNDER COMPUTABLE REDUCIBILITY
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2022. V.19. N1. P.248-258. DOI: 10.33048/semi.2022.19.019 WOS Scopus РИНЦ
Identifiers:
| Web of science: | WOS:000793381900007 |
| Scopus: | 2-s2.0-85129730666 |
| Elibrary: | 49384631 |