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Weight of Convex Compact Spaces and Their Boundaries by Evgenii, Reznichenko is a scholarly article available to read on EtoBox.

What is Weight of Convex Compact Spaces and Their Boundaries about?

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 $K$.

Author

Evgenii, Reznichenko

Published

2025

Language

EN