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Matematicheskie Zametki, 1996, Volume 60, Issue 2, Pages 278–287
DOI: https://doi.org/10.4213/mzm1824
(Mi mzm1824)
 

On spaces of nearexistence

G. M. Ustinov

Ural State Technical University
References:
Abstract: The notion of subspace of nearexistence is introduced. In particular, it is proved that if $Q$ is a countable compact set, then any subspace $L\subset C(Q)$, $\operatorname{dim}L=\operatorname{codim}L=+\infty$, can be approximated by subspaces of nearexistence.
Received: 06.10.1994
English version:
Mathematical Notes, 1996, Volume 60, Issue 2, Pages 204–211
DOI: https://doi.org/10.1007/BF02305183
Bibliographic databases:
UDC: 517.982.256
Language: Russian
Citation: G. M. Ustinov, “On spaces of nearexistence”, Mat. Zametki, 60:2 (1996), 278–287; Math. Notes, 60:2 (1996), 204–211
Citation in format AMSBIB
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\pages 278--287
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\jour Math. Notes
\yr 1996
\vol 60
\issue 2
\pages 204--211
\crossref{https://doi.org/10.1007/BF02305183}
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