if f : X--> Y is continuous and onto such that X is compact.

let g:Y--> Z is a function such that g0f is continuous. prove that g is contiuous.

how it can be prceeded.

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- May 26th 2012, 03:24 AMsaravananbscontinuous
if f : X--> Y is continuous and onto such that X is compact.

let g:Y--> Z is a function such that g0f is continuous. prove that g is contiuous.

how it can be prceeded. - May 27th 2012, 02:01 AMgirdavRe: continuous
Is there an assumption over $\displaystyle X$ like Hausdorff? You can show that $\displaystyle g^{-1}(F)$ is closed for $\displaystyle F$ closed.