Abstract
Let S be a nonempty set in a real topological linear space L. p ∈ S is a point of maximal visibility of S if and only if it admits a neighbourhood N in L such that Sq \(\subseteq\) Sp for every point q ∈ S ∩ N, where Sx = { s ∈ S : x is visible from s via S }. For S being either open and connected or the closure of its connected interior, it is shown that the kernel of S is the set of all maximal visibility points of S. Planar examples reveal that the topological assumptions on S are necessary. This substantially strengthens a recent result of Toranzos and Forte Cunto.
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