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=
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{{: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.

Proof

References

See Also

Unicoherent