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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 418–432
DOI: https://doi.org/10.17377/semi.2017.14.035 (Mi semr793) 		 
Mathematical logic, algebra and number theory

On images of partial computable functions over computable Polish spaces

M. V. Korovinaa, O. V. Kudinovb

a A.P. Ershov Institute of Informatics Systems, pr. Acad. Lavrentjev, 6, 630090, Novosibirsk, Russia
b Sobolev Institute of Mathematics, pr. Koptyug, 4, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.035
Abstract: This paper is a part of the ongoing program on analysing the complexity of various problems in computable analysis in terms of the effective Borel and Lusin hierarchies. We give an answer to the question by A. Morozov and K. Weihrauch that concerns a characterisation of image complexity of partial computable functions over computable Polish spaces.
Keywords: computable Polish space, partial computable function, computable analysis.
Funding agency Grant number
Deutsche Forschungsgemeinschaft CAVER BE 1267/14-1
WERA MU 1801/5-1
Russian Foundation for Basic Research 17-01-00247_a
This research was partially supported by DFG grants CAVER BE 1267/14-1 and WERA MU 1801/5-1, RFBR grant A- 17-01-00247.
Received December 7, 2016, published May 4, 2017
Bibliographic databases:
Document Type: Article
UDC: 510.2
MSC: 03D78, 03D65, 03F60
Language: English
Citation: M. V. Korovina, O. V. Kudinov, “On images of partial computable functions over computable Polish spaces”, Sib. Èlektron. Mat. Izv., 14 (2017), 418–432
Citation in format AMSBIB
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\by M.~V.~Korovina, O.~V.~Kudinov
\paper On images of partial computable functions over computable Polish~spaces
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 418--432
\mathnet{http://mi.mathnet.ru/semr793}
\crossref{https://doi.org/10.17377/semi.2017.14.035}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407792200038}
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