# continuous

• May 26th 2012, 03:24 AM
saravananbs
continuous
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 AM
girdav
Re: continuous
Is there an assumption over $X$ like Hausdorff? You can show that $g^{-1}(F)$ is closed for $F$ closed.