Definition
The utility of the notion of a topology is shown by the fact that there are several equivalent definitions of this structure. The most commonly used, and the most elegant, is that in terms of open sets, but the most intuitive is that in terms of neighbourhoods and so we give this first.
Read more about this topic: Topological Space
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—Adrienne Rich (b. 1929)
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—François, Duc De La Rochefoucauld (1613–1680)