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 secret ones around a stone
    Their lips withdrawn in meet surprise
    Lie still, being naught but bone
    With naught but space within their eyes....
    Allen Tate (1899–1979)