4
$\begingroup$

Let $Homeo(X)$ denote the group of homeomorphisms of a compact Hausdorff space $X$ onto itself. If $Homeo(X)$ is isomorphic to $Homeo(Y)$ (as topological groups with compact-open topology), can we conclude that $X$ is homeomorphic to $Y$ ?

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.