History of The Separation Axioms - Regularity Axioms

Regularity Axioms

Kolmogorov quotients, preregular spaces, and the Ri sequence

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Famous quotes containing the words regularity and/or axioms:

    ... more and more I like to take a train I understand why the French prefer it to automobiling, it is so much more sociable and of course these days so much more of an adventure, and the irregularity of its regularity is fascinating.
    Gertrude Stein (1874–1946)

    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)