# 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. | ||

+ | |||

+ | =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.