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:
“Philosophy of science without history of science is empty; history of science without philosophy of science is blind.”
—Imre Lakatos (1922–1974)
“The history of a soldier’s wound beguiles the pain of it.”
—Laurence Sterne (1713–1768)
“Last evening attended Croghan Lodge International Order of Odd Fellows. Election of officers. Chosen Noble Grand. These social organizations have a number of good results. All who attend are educated in self-government. This in a marked way. They bind society together. The well-to-do and the poor should be brought together as much as possible. The separation into classes—castes—is our danger. It is the danger of all civilizations.”
—Rutherford Birchard Hayes (1822–1893)
“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)