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open region

[/ˈoʊpən ˈriːdʒən/]
nounpl: open regions
região aberta
1. In mathematics and topology, a set of points in which every point has a neighborhood contained entirely within the set; a region without its boundary
In topology, an open region is one where for any point in the region, there exists a small ball around that point also contained in the region.
Em topologia, uma região aberta é aquela onde para qualquer ponto na região, existe uma pequena bola ao redor desse ponto também contida na região.
2. A geographic or spatial area that is not enclosed or restricted; an accessible space without barriers
The park provided an open region where children could play freely.
O parque proporcionava uma região aberta onde as crianças podiam brincar livremente.
Synonyms
open setopen spaceunrestricted areaaccessible area
Antonyms
closed regionclosed setrestricted areaenclosed space

Regional Variations

General Brazilian
região aberta
Standard term used in mathematics and geography
Portugal
região aberta
Standard term, identical to Brazilian usage in mathematical context

Related Idioms & Phrases

open region of convergence
simply connected open region
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