In a locally path-connected space connectedness and path connectedness are equivalent. What is the minimal condition we would impose on a topological space to get the same result?

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    $\begingroup$ My guess is that there is probably no minimal condition. $\endgroup$ – Bruno Joyal Jul 5 '14 at 18:44
  • $\begingroup$ @pete Would you please elaborate on that? $\endgroup$ – MJD Mar 18 '17 at 12:31

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