Alexandroff Manifolds and Homogeneous Continua

Alexandre Karassev, Vladimir Todorov, Vesko Valov

We prove the following result announced in Todorov and Valov: Any homogeneous, metric $ANR$-continuum is a $V_G^n$-continuum provided ${\dim }_{G}X=n\ge 1$ and ${\check{H}}^n(X;G)\ne 0$…