Approach Space

Approach Space

In topology, approach spaces are a generalization of metric spaces, based on point-to-set distances, instead of point-to-point distances. They were introduced by Robert Lowen in 1989.

Read more about Approach Space:  Definition, Examples, Equivalent Definitions, Categorical Properties

Famous quotes containing the words approach and/or space:

    Let me approach at least, and touch thy hand.
    [Samson:] Not for thy life, lest fierce remembrance wake
    My sudden rage to tear thee joint by joint.
    At distance I forgive thee, go with that;
    Bewail thy falsehood, and the pious works
    It hath brought forth to make thee memorable
    Among illustrious women, faithful wives:
    Cherish thy hast’n’d widowhood with the gold
    Of Matrimonial treason: so farewel.
    John Milton (1608–1674)

    The flattering, if arbitrary, label, First Lady of the Theatre, takes its toll. The demands are great, not only in energy but eventually in dramatic focus. It is difficult, if not impossible, for a star to occupy an inch of space without bursting seams, cramping everyone else’s style and unbalancing a play. No matter how self-effacing a famous player may be, he makes an entrance as a casual neighbor and the audience interest shifts to the house next door.
    Helen Hayes (1900–1993)