|
On spaces of nearexistence
G. M. Ustinov Ural State Technical University
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
Citation:
G. M. Ustinov, “On spaces of nearexistence”, Mat. Zametki, 60:2 (1996), 278–287; Math. Notes, 60:2 (1996), 204–211
Linking options:
https://www.mathnet.ru/eng/mzm1824https://doi.org/10.4213/mzm1824 https://www.mathnet.ru/eng/mzm/v60/i2/p278
|
|