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Closure of one-point subset implies irreducible

From Topospaces

Revision as of 20:10, 13 January 2012 by Vipul (talk | contribs) (Created page with "==Statement== Suppose <math>X</math> is a topological space and <math>x</math> is a point in <math>X</math>. Let <math>A</math> be the closure of <math>\{ x \}</math> in ...")

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Statement

Suppose $X$ is a topological space and $x$ is a point in $X$ . Let $A$ be the closure of $\{x\}$ in $X$ . Then, $A$ is an irreducible space with the subspace topology from $X$ .

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