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)
“Auld Noah was at hame wi’ them a’,
The lion and the lamb,
Pair by pair they entered the Ark
And he took them as they cam’.”
—Hugh MacDiarmid (1892–1978)