History of The Separation Axioms

History Of The Separation Axioms

In general topology, the separation axioms have had a convoluted history, with many competing meanings for the same term, and many competing terms for the same concept.

Read more about History Of The Separation Axioms:  Origins, Different Definitions, Regularity Axioms, Completely Hausdorff, Urysohn, and T Spaces

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    The History of the world is not the theatre of happiness. Periods of happiness are blank pages in it, for they are periods of harmony—periods when the antithesis is in abeyance.
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    There is no example in history of a revolutionary movement involving such gigantic masses being so bloodless.
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    America is the only nation in history which, miraculously, has gone directly from barbarism to degeneration without the usual interval of civilization.
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    ... imprisonment itself, entailing loss of liberty, loss of citizenship, separation from family and loved ones, is punishment enough for most individuals, no matter how favorable the circumstances under which the time is passed.
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    The axioms of physics translate the laws of ethics. Thus, “the whole is greater than its part;” “reaction is equal to action;” “the smallest weight may be made to lift the greatest, the difference of weight being compensated by time;” and many the like propositions, which have an ethical as well as physical sense. These propositions have a much more extensive and universal sense when applied to human life, than when confined to technical use.
    Ralph Waldo Emerson (1803–1882)