Hereditarily unicoherent
We say that a continuum $X$ is hereditarily unicoherent if every subcontinuum of $X$ is unicoherent.
Properties
Theorem
If $X$ be a tree-like continuum, then $X$ is hereditarily unicoherent.
We say that a continuum $X$ is hereditarily unicoherent if every subcontinuum of $X$ is unicoherent.
If $X$ be a tree-like continuum, then $X$ is hereditarily unicoherent.
