Connected Component
# Definition
Let $X$ be a Topological Space. Then $C \subset X$ is a Connected Component of $X$ if $C$ is a Maximal (wrt Subset Relation) connected set. That is, if $C’ \subset X$ is Connected and $C \subset C’$, then $C = C’$.
Search
Let $X$ be a Topological Space. Then $C \subset X$ is a Connected Component of $X$ if $C$ is a Maximal (wrt Subset Relation) connected set. That is, if $C’ \subset X$ is Connected and $C \subset C’$, then $C = C’$.