Suppose A is open. Consider the following statements: (i) If finitely many points are removed from A, then A is still open. (ii) If infinitely many points are removed from A, then A is still open. Which one is correct.
Suppose A is open. Consider the following statements: (i) If finitely many points are removed from A, then A is still open. (ii) If infinitely many points are removed from A, then A is still open. Which one is correct.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.CT: Test
Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...
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Suppose A is open. Consider the following statements:
(i) If finitely many points are removed from A, then A is still open.
(ii) If infinitely many points are removed from A, then A is still open.
Which one is correct.
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