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 T2½ Spaces
Famous quotes containing the words history of, history, separation and/or axioms:
“There is no history of how bad became better.”
—Henry David Thoreau (1817–1862)
“The history of any nation follows an undulatory course. In the trough of the wave we find more or less complete anarchy; but the crest is not more or less complete Utopia, but only, at best, a tolerably humane, partially free and fairly just society that invariably carries within itself the seeds of its own decadence.”
—Aldous Huxley (1894–1963)
“There is nothing that I shudder at more than the idea of a separation of the Union. Should such an event ever happen, which I fervently pray God to avert, from that date I view our liberty gone.”
—Andrew Jackson (1767–1845)
“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)