let $\displaystyle X$ be a Hausdorff topological space.

show that $\displaystyle X$ is homeomorphic to an open sub-space a compact Hausdorff space if and only if $\displaystyle X$ is locally compact

any help is appreciated

thanks

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- May 3rd 2011, 03:00 AMaharonidanlocally compact spaces
let $\displaystyle X$ be a Hausdorff topological space.

show that $\displaystyle X$ is homeomorphic to an open sub-space a compact Hausdorff space if and only if $\displaystyle X$ is locally compact

any help is appreciated

thanks - May 3rd 2011, 03:28 AMaharonidan
no need for help...

I completed the proof... thanks anyway