Am 19.05.2014 10:46, schrieb William Elliot: > A space S is a Peano space when S is compact, connected, > locally connected and metrizable. Peano spaces are path, > in fact, arc connected. Is there a connected, locally > connected and metrizable space that's not path connected? > >
Oh I see, you really want to discuss with the Mückenheim corona something like
In this paper we prove that if a semilocally 1-connected Peano space X admits a positively expansive open map ?, then X is homeomorphic to an infra-nil-manifold and ? is topologically conjugate to an expanding infra-nil-endomorphism?