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This article is cited in 1 scientific paper (total in 1 paper)
Real, complex and functional analysis
On upper topological limit of family of vector subspaces of codimension $k$
K. V. Storozhukab a Novosibirsk State University, Pirogova str., 2,
630090, Novosibirsk, Russia
b Sobolev Institute of Mathematics, pr. Koptyuga, 4,
630090, Novosibirsk, Russia
Abstract:
Let $\{L_\alpha\mid \alpha\in I\}$ be an infinite family of subspaces in a topological vector space $X$ the codimension of each of which is at most $k$. We prove that there exists a subspace $L\subset X$, $\operatorname{codim} L\leq k$, such that every $x\in L$ is a limit point of some family $\{l_\alpha\in L_\alpha\}$.
Keywords:
upper topological limit.
Received July 5, 2015, published July 20, 2015
Citation:
K. V. Storozhuk, “On upper topological limit of family of vector subspaces of codimension $k$”, Sib. Èlektron. Mat. Izv., 12 (2015), 432–435
Linking options:
https://www.mathnet.ru/eng/semr599 https://www.mathnet.ru/eng/semr/v12/p432
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