Results for bijection translation from Spanish to English

so in both cases "dfx" fails to be a bijection.
in both cases, therefore, "dfx" fails to be a bijection.

está claro que relación construida en medio y es el bijection.
it is clear that constructed relation between and is bijection.

a differentiable bijection is "not" necessarily a diffeomorphism, e.g.
; sixth remarka differentiable bijection is "not" necessarily a diffeomorphism.

que significa para cada bijection y hay tal que si es un bijection tal que entonces .
it means for every bijection and there is such that if is a bijection such that then .

if "dfx" is a bijection at "x" then we say that "f" is a local diffeomorphism (since by continuity "dfy" will also be bijective for all "y" sufficiently close to "x").
; fourth remarkif "dfx" is a bijection at "x" then "f" is said to be a local diffeomorphism (since, by continuity, "dfy" will also be bijective for all "y" sufficiently close to "x").