Consider R with the usual topology, Let Q be the set of rational numbers, Select one: a. Q is both open and closed b. then Q is countable but not closed c. then Q is countable and open d. every point of Q is an isolated point e. then Q is countable and closed
Consider R with the usual topology, Let Q be the set of rational numbers, Select one: a. Q is both open and closed b. then Q is countable but not closed c. then Q is countable and open d. every point of Q is an isolated point e. then Q is countable and closed
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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Consider R with the usual topology, Let Q be the set of rational numbers,
Select one:
a. Q is both open and closed
b. then Q is countable but not closed
c. then Q is countable and open
d. every point of Q is an isolated point
e. then Q is countable and closed
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