Size Pair

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:

    “For truly I tell you, if you have faith the size of a mustard seed, you will say to this mountain, ‘Move from here to there,’ and it will move; and nothing will be impossible for you.”
    —Bible: New Testament, Matthew 17:20.

    “If I have any justification for having lived it’s simply, I’m nothing but faults, failures and so on, but I have tried to make a good pair of shoes. There’s some value in that.”
    —Arthur Miller (b. 1915)