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:
“One writes of scars healed, a loose parallel to the pathology of the skin, but there is no such thing in the life of an individual. There are open wounds, shrunk sometimes to the size of a pin-prick but wounds still. The marks of suffering are more comparable to the loss of a finger, or the sight of an eye. We may not miss them, either, for one minute in a year, but if we should there is nothing to be done about it.”
—F. Scott Fitzgerald (1896–1940)
“We saw a pair of moose-horns on the shore, and I asked Joe if a moose had shed them; but he said there was a head attached to them, and I knew that they did not shed their heads more than once in their lives.”
—Henry David Thoreau (1817–1862)