On spaces of nearexistence
Matematičeskie zametki, Tome 60 (1996) no. 2, pp. 278-287
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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.
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