Suppose $X$ is metric, compact, connected, and $p\in X$.
An arc is a copy of $[0,1]$.
Is it possible that every two points in $X\setminus \{p\}$ can be joined by an arc, but there is no arc in $X$ containing $p$?
2026-03-27 03:45:59.1774583159
Question about arc-connected property in a continuum
188 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in GENERAL-TOPOLOGY
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