In topology and related areas of mathematics, an induced topology on a topological space is a topology which is "optimal" for some function from/to this topological space.
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Famous quotes containing the word induced:
“Few can be induced to labor exclusively for posterity; and none will do it enthusiastically. Posterity has done nothing for us; and theorize on it as we may, practically we shall do very little for it, unless we are made to think we are at the same time doing something for ourselves.”
—Abraham Lincoln (1809–1865)