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Zapiski Nauchnykh Seminarov LOMI, 1976, Volume 60, Pages 194–196
(Mi znsl2078)
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Continuity of operators in separable constructive metric spaces
S. V. Pakhomov
Abstract:
We construct an everywhere defined continuous operator on a separable CMS having the following property: it is not possible to cover the domain of this operator by denumerably many balls such that the oscillation of the operator in each ball of the covering is less than 1.
Citation:
S. V. Pakhomov, “Continuity of operators in separable constructive metric spaces”, Studies in constructive mathematics and mathematical logic. Part VII, Zap. Nauchn. Sem. LOMI, 60, "Nauka", Leningrad. Otdel., Leningrad, 1976, 194–196; J. Soviet Math., 14:5 (1980), 1554–1556
Linking options:
https://www.mathnet.ru/eng/znsl2078 https://www.mathnet.ru/eng/znsl/v60/p194
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Abstract page: | 86 | Full-text PDF : | 32 |
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