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Feb 11, 2016 at 20:22 comment added Ramiro de la Vega Of course :P ... and locally compact?
Feb 11, 2016 at 20:03 comment added Ramiro de la Vega Theorem 3 here: pnas.org/content/36/11/663, says that any locally arcwise-connected group of finite dimension is locally compact. On the other hand I don´t know any metrizable locally connected topological space (group or otherwise) which is not locally path-connected.
Feb 11, 2016 at 19:42 history answered Todd Trimble CC BY-SA 3.0