# Connectedness is closure-preserved

From Topospaces

This article gives the statement, and possibly proof, of a topological space property (i.e., connected space) satisfying a topological space metaproperty (i.e., closure-preserved property of topological spaces)

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## Statement

Suppose is a topological space and is a subset of that is a connected space with the subspace topology from . Then, the closure of in , denoted , is also a connected space with the subspace topology from .