Geodesic
On upper topological limit of family of vector subspaces of codimension $k$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 432-435 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {K. V. Storozhuk},
     title = {On upper topological limit of family of vector subspaces of codimension~$k$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {432--435},
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}
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K. V. Storozhuk. On upper topological limit of family of vector subspaces of codimension $k$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 432-435. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a84/

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