Difference between revisions of "Hereditarily unicoherent"
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We say that a [[continuum]] $X$ is hereditarily unicoherent if every subcontinuum of $X$ is unicoherent. | We say that a [[continuum]] $X$ is hereditarily unicoherent if every subcontinuum of $X$ is unicoherent. | ||
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| + | =Properties= | ||
| + | {{:Tree-like implies hereditarily unicoherent}} | ||
=See Also= | =See Also= | ||
[[Unicoherent]]<br /> | [[Unicoherent]]<br /> | ||
Revision as of 04:01, 20 May 2015
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.
