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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 247, Pages 228–236 (Mi tm20)  
This article is cited in 5 scientific papers (total in 5 papers)

On Metric Completeness and Order Completeness

S. N. Samborskii

Caen University
Full-text PDF (170 kB) Citations (5)
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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
Bibliographic databases:
UDC: 512.565+515.124.42
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Sam04}
\by S.~N.~Samborskii
\paper On Metric Completeness and Order Completeness
\inbook Geometric topology and set theory
\bookinfo Collected papers. Dedicated to the 100th birthday of professor Lyudmila Vsevolodovna Keldysh
\serial Trudy Mat. Inst. Steklova
\yr 2004
\vol 247
\pages 228--236
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm20}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2168173}
\zmath{https://zbmath.org/?q=an:1106.54015}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2004
\vol 247
\pages 209--216
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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