Positively separated sets
id:
positively-separated-sets-249-9833549
title:
Positively separated sets
text:
In mathematics, two non-empty subsets A and B of a given metric space (X, d) are said to be positively separated if the infimum (Some authors also specify that A and B should be disjoint sets; however, this adds nothing to the definition, since if A and B have some common point p, then d(p, p) = 0, and so the infimum above is clearly 0 in that case.) For example, on the real line with the usual distance, the open intervals (0, 2) and (3, 4) are positively separated, while (3, 4) and (4, 5) are n
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Positively_separated_sets
date created:
date modified:
2023-08-12T01:16:27Z
main entity:
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13
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