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open set
noun
Informally, a set such that the target point of a movement by a small amount in any direction from any point in the set is still in the set; exemplified by a full circle without its boundary.
Exact(49)
(Axially symmetric open set).
Consider an open set.
Let Ω⊆RN be any open set.
Let be an open set.
Let be an arbitrary open set, and.
Notice that is an open set.
Similar(11)
(ii) Every ss-open set is sb-open set. .
Every sp-open set is sb-open set.
Every ss-open set is sb-open set.
Thus ( F, A ) is ss-open set.
Thus ( F, A ) is sb-open set.
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