A continuum is a compact connected metric space. A plane continuum is a continuum contained in $R^2$. We say that a plane continuum does not separate the plane provided that $R^2\setminus X$ is connected.
Theorem. A locally connected plane continuum that does not separate the plane is an AR.
Does anyone knows how to prove this? Many authors give a reference to Borsuk but the paper is in german. At least can someone give me a reference to some work in English? Thanks