On the continuity of constructive functionals
Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part IV, Tome 20 (1971), pp. 160-169
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There are investigated effective functionals defined on recursive real functions. Both the continuity of a functional relative to pointwise convergence and the continuity relative to uniform convergence of functions-arguments are investigated.
@article{ZNSL_1971_20_a14,
author = {V. P. Orevkov},
title = {On the continuity of constructive functionals},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {160--169},
publisher = {mathdoc},
volume = {20},
year = {1971},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1971_20_a14/}
}
V. P. Orevkov. On the continuity of constructive functionals. Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part IV, Tome 20 (1971), pp. 160-169. http://geodesic.mathdoc.fr/item/ZNSL_1971_20_a14/