Prove that each component of X is open. 14. Let X be the set of reals with the usual topology, and let S = {1/n: ne Z+}U {0}. Which components of S are open? Explain.
Prove that each component of X is open. 14. Let X be the set of reals with the usual topology, and let S = {1/n: ne Z+}U {0}. Which components of S are open? Explain.
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:Prove that each component of X is open.
14. Let X be the set of reals with the usual topology, and let S = {1/n: n €
Z+}U {0}. Which components of S are open? Explain.
having no open components, or prove there is no
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