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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 247, Pages 228–236
(Mi tm20)
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This article is cited in 5 scientific papers (total in 5 papers)
On Metric Completeness and Order Completeness
S. N. Samborskii Caen University
Abstract:
A positive answer to the question of whether there exists a metric on the lattice of continuous functions that generates uniform convergence and is such that the metric completion is simultaneously the order completion is given. Two interpretations of the obtained metric lattice are suggested.
Received in March 2004
Citation:
S. N. Samborskii, “On Metric Completeness and Order Completeness”, Geometric topology and set theory, Collected papers. Dedicated to the 100th birthday of professor Lyudmila Vsevolodovna Keldysh, Trudy Mat. Inst. Steklova, 247, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 228–236; Proc. Steklov Inst. Math., 247 (2004), 209–216
Linking options:
https://www.mathnet.ru/eng/tm20 https://www.mathnet.ru/eng/tm/v247/p228
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Abstract page: | 260 | Full-text PDF : | 97 | References: | 36 |
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