closed ball


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closed ball

[¦klōzd ′bȯl]
(mathematics)
In a metric space, a closed set about a point x which consists of all points that are equal to or less than a fixed distance from x.
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x] = {x' [member of] PV | B(x, x') [less than or equal to] 0} is a closed ball (spherical cap) on [?
Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] define as above, and B be any closed ball in [R.
Relatively weakly open sets in closed balls of Banach spaces, and the centralizer.