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open neighborhood
[ˈoʊpən ˈneɪbərˌhʊd]
noun
pl: open neighborhoods
vizinhança aberta
1.
In topology, a set containing a point and an open set around that point; a region in a topological space that is itself an open set
In the real number line, an open neighborhood of 5 might be the interval (4.9, 5.1)
Na reta real, uma vizinhança aberta de 5 poderia ser o intervalo (4,9, 5,1)
2.
More broadly, any open set that contains a given point in a topological space
The concept of an open neighborhood is fundamental to understanding continuity in topology
O conceito de vizinhança aberta é fundamental para entender continuidade em topologia
Synonyms
open set
neighborhood
vicinity
Antonyms
closed neighborhood
closed set
Regional Variations
General Brazilian
vizinhança aberta
Standard mathematical terminology used in Brazilian universities
Portugal
vizinhança aberta
Standard mathematical terminology used in Portuguese universities
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