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.
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    Take pains ... to write a neat round, plain hand, and you will find it a great convenience through life to write a small and compact hand as well as a fair and legible one.
    Thomas Jefferson (1743–1826)

    For tribal man space was the uncontrollable mystery. For technological man it is time that occupies the same role.
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