Exercise. Prove that in a metric space (X, p), a set GC X is open if and only if it is a union of open balls in (X, p).
Exercise. Prove that in a metric space (X, p), a set GC X is open if and only if it is a union of open balls in (X, p).
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 11E: For the sets gives in Exercise 9, is there a distributive relationship for union with respect with...
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