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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 5, Pages 1136–1141 (Mi smj1124)  
Isomorphism of the index sets of discrete families of general recursive functions

Yu. D. Korolkov

Irkutsk State University
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Abstract: We establish isomorphism between the index set of an arbitrary computable family of general recursive functions and the index set of a certain computable discrete family of general recursive functions.
Keywords: index set, computable family, general recursive function.
Received: 26.06.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 5, Pages 935–939
DOI: https://doi.org/10.1023/B:SIMJ.0000042481.18747.9c
Bibliographic databases:
UDC: 518.5
Language: Russian
Citation: Yu. D. Korolkov, “Isomorphism of the index sets of discrete families of general recursive functions”, Sibirsk. Mat. Zh., 45:5 (2004), 1136–1141; Siberian Math. J., 45:5 (2004), 935–939
Citation in format AMSBIB
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\vol 45
\issue 5
\pages 1136--1141
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\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 5
\pages 935--939
\crossref{https://doi.org/10.1023/B:SIMJ.0000042481.18747.9c}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000224788300012}
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    		Сибирский математический журнал Siberian Mathematical Journal
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