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<a accesskey="3" href="page.php?w=topological_semigroup&amp;p=2">3.Next</a>
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<p>In <a href="page.php?w=mathematics">mathematics</a>, a <b>topological semigroup</b> is a <a href="page.php?w=semigroup">semigroup</a> that is simultaneously a <a href="page.php?w=topological_space">topological space</a>, and whose semigroup operation is <a href="page.php?w=Continuous_function">continuous</a>.</p>

<p>Every <a href="page.php?w=topological_group">topological group</a> is a topological semigroup.</p>

<p><big>See also</big></p>
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<a accesskey="3" href="page.php?w=topological_semigroup&amp;p=2">3.Next</a>
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