2) Give an example of a metric space such that the closed ball Bå(x,r) is not an open set for any x EX and r≥ 0. 3) Give an example of a metric space such that some closed ball is an open subset.
2) Give an example of a metric space such that the closed ball Bå(x,r) is not an open set for any x EX and r≥ 0. 3) Give an example of a metric space such that some closed ball is an open subset.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2) Give an example of a metric space such that the closed ball B₁(x,r) is
not an open set for any x E X and r≥ 0.
3) Give an example of a metric space such that some closed ball is an
open subset.
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