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Dense subset of dense subspace is dense

From Topospaces

Revision as of 01:06, 25 January 2012 by Vipul (talk | contribs) (Created page with "==Statement== Suppose <math>X</math> is a topological space and <math>B</math> is a dense subset of <math>X</math>. Suppose <math>A</math> is a subset of <math>B</mat...")

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Statement

Suppose $X$ is a topological space and $B$ is a dense subset of $X$ . Suppose $A$ is a subset of $B$ that is a dense subset of $B$ under the subspace topology on $B$ from $X$ . Then, $A$ is also a dense subset of $X$ .

Related facts

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