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Free Subspaces of Free Locally Convex Spaces

open access: yesJournal of Function Spaces, 2018
If X and Y are Tychonoff spaces, let L(X) and L(Y) be the free locally convex space over X and Y, respectively. For general X and Y, the question of whether L(X) can be embedded as a topological vector subspace of L(Y) is difficult.
Saak S. Gabriyelyan, Sidney A. Morris
doaj   +1 more source

On strong form of Arzela convergence

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
We define some new type of convergence of nets of functions which is formulated in terms of open covers. It preserves continuity and under some assumptions implies (or coincides with) the Arzela quasi-uniform convergence.
Janina Ewert
doaj   +1 more source

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