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Diagonal map
From Mathematics Is A Science
Revision as of 14:07, 16 February 2013 by imported>WikiSysop
Given a set $X$, the diagonal map $$\Delta \colon X \to X \times X$$ is defined by $$\Delta (x)=(x,x).$$ If $X$ is a topological space, $\Delta$ is continuous. In fact, it is an embedding.