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)

    The powers of the federal government ... result from the compact to which the states are parties, [and are] limited by the plain sense and intention of the instrument constituting that compact.
    James Madison (1751–1836)

    The within, all that inner space one never sees, the brain and the heart and other caverns where thought and feeling dance their sabbath.
    Samuel Beckett (1906–1989)