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disconnected space
[dɪs.kəˈnɛk.tɪd speɪs]
noun
pl: disconnected spaces
espaço desconexo
1.
In topology, a topological space that is not connected; a space that can be partitioned into two or more non-empty disjoint open sets.
The union of two disjoint open intervals is an example of a disconnected space.
A união de dois intervalos abertos disjuntos é um exemplo de espaço desconexo.
2.
A metric or topological space where there exist non-trivial clopen sets (sets that are both open and closed).
In a disconnected space, we can find at least one proper subset that is both open and closed.
Em um espaço desconexo, podemos encontrar pelo menos um subconjunto próprio que é tanto aberto quanto fechado.
Synonyms
totally disconnected space
non-connected space
disjoint space
Antonyms
connected space
path-connected space
simply connected space
Regional Variations
General Brazilian
espaço desconexo
Standard mathematical term used in Brazilian Portuguese textbooks and academia
São Paulo
espaço desconexo
Commonly used in USP and other major universities
Portugal
espaço desconexo
Standard term in Portuguese mathematics; sometimes also used espaço não-conexo
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