finite fibers
[ˈfɪnɪt ˈfaɪbərz]
nounpl: finite fibers
fibras finitas
1. In mathematics and topology, fibers of a continuous map that consist of a finite number of points or elements
The finite fibers of the projection map ensure that the preimage of each point contains only finitely many elements.
As fibras finitas do mapa de projeção garantem que a pré-imagem de cada ponto contém apenas um número finito de elementos.
2. In algebraic geometry, the set of points in a variety that map to a single point under a given morphism, where this set is finite
Over most points in the base space, the morphism has finite fibers of degree d.
Sobre a maioria dos pontos no espaço base, o morfismo tem fibras finitas de grau d.
This is specialized mathematical terminology primarily used in academic and research contexts in both Brazil and the USA. It is not common in everyday language. Brazilian and Portuguese mathematicians use the same translation 'fibras finitas' as it derives from standard mathematical nomenclature that is internationally consistent.
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