Locally Compact Space

Locally Compact Space

In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space.

Read more about Locally Compact Space:  Formal Definition, Properties

Famous quotes containing the words locally, compact and/or space:

    To see ourselves as others see us can be eye-opening. To see others as sharing a nature with ourselves is the merest decency. But it is from the far more difficult achievement of seeing ourselves amongst others, as a local example of the forms human life has locally taken, a case among cases, a world among worlds, that the largeness of mind, without which objectivity is self- congratulation and tolerance a sham, comes.
    Clifford Geertz (b. 1926)

    What compact mean you to have with us?
    Will you be pricked in number of our friends,
    Or shall we on, and not depend on you?
    William Shakespeare (1564–1616)

    The woman’s world ... is shown as a series of limited spaces, with the woman struggling to get free of them. The struggle is what the film is about; what is struggled against is the limited space itself. Consequently, to make its point, the film has to deny itself and suggest it was the struggle that was wrong, not the space.
    Jeanine Basinger (b. 1936)