Cone (topology) - Reduced Cone

If is a pointed space, there is a related construction, the reduced cone, given by

$X\times / (X\times \left\{0\right\}) \cup(\left\{x_0\right\}\times )$

With this definition, the natural inclusion becomes a based map, where we take to be the basepoint of the reduced cone.

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Famous quotes containing the word reduced:

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—Ralph Waldo Emerson (1803–1882)