History of The Separation Axioms/completely Hausdorff Urysohn and T2%c2%bd Spaces

Famous quotes containing the words history, separation, axioms, completely and/or spaces:

    It’s a very delicate surgical operation—to cut out the heart without killing the patient. The history of our country, however, is a very tough old patient, and we’ll do the best we can.
    Dudley Nichols, U.S. screenwriter. Jean Renoir. Sorel (Philip Merivale)

    Just as children, step by step, must separate from their parents, we will have to separate from them. And we will probably suffer...from some degree of separation anxiety: because separation ends sweet symbiosis. Because separation reduces our power and control. Because separation makes us feel less needed, less important. And because separation exposes our children to danger.
    Judith Viorst (20th century)

    “I tell you the solemn truth that the doctrine of the Trinity is not so difficult to accept for a working proposition as any one of the axioms of physics.”
    Henry Brooks Adams (1838–1918)

    One point in my public life: I did all I could for the reform of the civil service, for the building up of the South, for a sound currency, etc., etc., but I never forgot my party.... I knew that all good measures would suffer if my Administration was followed by the defeat of my party. Result, a great victory in 1880. Executive and legislature both completely Republican.
    Rutherford Birchard Hayes (1822–1893)

    Though there were numerous vessels at this great distance in the horizon on every side, yet the vast spaces between them, like the spaces between the stars,—far as they were distant from us, so were they from one another,—nay, some were twice as far from each other as from us,—impressed us with a sense of the immensity of the ocean, the “unfruitful ocean,” as it has been called, and we could see what proportion man and his works bear to the globe.
    Henry David Thoreau (1817–1862)