Geodesic
Effectively infinite classes of numberings of computable families of reals
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2023), pp. 96-100

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Results on the effective infinity of classes of all (single-valued) numberings of families of all left-c.e. and all Martin-Löf random left-c.e. reals are presented, as well as sufficient conditions for the effective infinity of classes of numberings of families of computably enumerable sets aimed at obtaining them.
Keywords: computable numbering, single-valued numbering, positive numbering, effective infinity, left-c.e. real. 
@article{IVM_2023_5_a10,
     author = {M. Kh. Faizrahmanov},
     title = {Effectively infinite classes of numberings of computable families of reals},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {96--100},
     publisher = {mathdoc},
     number = {5},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_5_a10/}
}
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M. Kh. Faizrahmanov. Effectively infinite classes of numberings of computable families of reals. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2023), pp. 96-100. http://geodesic.mathdoc.fr/item/IVM_2023_5_a10/