Difference between revisions of "Unicoherent"

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(Created page with "Let $K$ be a continuum. We say that $K$ is ''unicoherent'' if for all $A, B$ subcontinua of $K$, such that $A \bigcup B = K$, then intersection $A \bigcap B$ is connecte...")
 
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Let $K$ be a [[continuum]]. We say that $K$ is ''unicoherent'' if for all $A, B$ subcontinua of $K$, such that $A \bigcup B = K$, then intersection $A \bigcap B$ is [[connected]].
 
Let $K$ be a [[continuum]]. We say that $K$ is ''unicoherent'' if for all $A, B$ subcontinua of $K$, such that $A \bigcup B = K$, then intersection $A \bigcap B$ is [[connected]].
 
==Related definitions==
 
# We say that a continuum $K$ is ''hereditarily unicoherent'' if every subcontinuum of $K$ is unicoherent.
 

Revision as of 03:57, 20 May 2015

Let $K$ be a continuum. We say that $K$ is unicoherent if for all $A, B$ subcontinua of $K$, such that $A \bigcup B = K$, then intersection $A \bigcap B$ is connected.