11. If a set has empty interior, then so does its closure. 12. The closure of a set coincides with the closure of its interior. "
11. If a set has empty interior, then so does its closure. 12. The closure of a set coincides with the closure of its interior. "
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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Topology:Q11
For each of the following, if the statement about a topological space is always true, prove it; otherwise, give a counterexample
Transcribed Image Text:11. If a set has empty interior, then so does its closure.
12. The closure of a set coincides with the closure of its interior.
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