Locally Discrete Collection

Locally Discrete Collection

In mathematics, particularly topology, collections of subsets are said to be locally discrete if they look like they have precisely one element from a local point of view. The study of locally discrete collections is worthwhile as Bing's metrization theorem shows.

Read more about Locally Discrete Collection:  Formal Definition, Properties and Examples

Famous quotes containing the words locally, discrete and/or collection:

    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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    The mastery of one’s phonemes may be compared to the violinist’s mastery of fingering. The violin string lends itself to a continuous gradation of tones, but the musician learns the discrete intervals at which to stop the string in order to play the conventional notes. We sound our phonemes like poor violinists, approximating each time to a fancied norm, and we receive our neighbor’s renderings indulgently, mentally rectifying the more glaring inaccuracies.
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    The Nature of Familiar Letters, written, as it were, to the Moment, while the Heart is agitated by Hopes and Fears, on Events undecided, must plead an Excuse for the Bulk of a Collection of this Kind. Mere Facts and Characters might be comprised in a much smaller Compass: But, would they be equally interesting?
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