Synonyms for Open sets
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open sets (0 synonym found)
We don't have synonyms for open sets yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are open set, open seas and open sea.
We don't have any synonyms for open sets yet.
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Definition of open sets:
(n) :
(topology, mathematical analysis, restricted to metric spaces) A set which can be described as an (arbitrary) union of open balls. Equivalently, a set such that for every point in it, there is an open ball centered at that point, such that that open ball is contained by the set.
(n) :
(topology) 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.
(n) :
(topology) Most generally, a member of the topology of a given topological space.
Definition of open sets:
(n) :
(topology, mathematical analysis, restricted to metric spaces) A set which can be described as an (arbitrary) union of open balls. Equivalently, a set such that for every point in it, there is an open ball centered at that point, such that that open ball is contained by the set.
(n) :
(topology) 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.
(n) :
(topology) Most generally, a member of the topology of a given topological space.
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