Year: 2025
Type: preprint
Abstract: It is proved that if some boundary $B$ of a convex compact subset $X$ of a locally convex linear space has a countable network, then the convex compact space $X$ is metrizable. If the boundary $B$ is a Lindelof $\Sigma$-space, then the network weight $nw(B)$ of $B$ coincides with the weight $w(K)$ of $K$.
Source: arXiv (Cornell University)
Author: Evgenii, Reznichenko
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979245288
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