
Re: Connected and Locally Connected
Posted:
May 19, 2014 5:02 AM


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 1connected Peano space X admits a positively expansive open map ?, then X is homeomorphic to an infranilmanifold and ? is topologically conjugate to an expanding infranilendomorphism?

Roland Franzius

