In size theory, a size pair is a pair, where is a compact topological space and is a continuous function . The function is called a measuring function. The topological space is usually assumed to be also a locally connected and Hausdorff space.
Famous quotes containing the words size and/or pair:
“Our brains are no longer conditioned for reverence and awe. We cannot imagine a Second Coming that would not be cut down to size by the televised evening news, or a Last Judgment not subject to pages of holier-than-Thou second- guessing in The New York Review of Books.”
—John Updike (b. 1932)
“To get a man soundly saved it is not enough to put on him a pair of new breeches, to give him regular work, or even to give him a University education. These things are all outside a man, and if the inside remains unchanged you have wasted your labour. You must in some way or other graft upon the man’s nature a new nature, which has in it the element of the Divine.”
—William Booth (1829–1912)