The boundary of every set has empty 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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Question
Topology: Q9
For each of the following, if the statement about a topological space is always true, prove it; otherwise, give a counterexample
Transcribed Image Text:every set is a closed set.
9. The boundary of every set has empty interior.
10. Every nonempty closed set with empty interior is the boundary of some set.
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