Source: wikibot/pohlke-s-theorem

= Pohlke's theorem
{wiki=Pohlke's_theorem}

Pohlke's theorem is a result in the field of topology, specifically in the study of connected spaces. It states that if \\(X\\) is a connected space and \\(Y\\) is a connected subspace of \\(X\\), then \\(X\\) is connected if and only if the union of \\(Y\\) with any other connected subspace \\(Z\\) of \\(X\\) is connected.