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Difference between revisions of "Identity map"
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Latest revision as of 21:27, 3 December 2012
A map that is the identity functionis called the identity map.
Given a topological space $X$, the function $Id_X: X \rightarrow X$ given by $f(x) = x$ is the identity map.
It is always continuous.
A slightly less trivial map is the inclusion map.