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Exercise 2 Let X be a topological space. TALING TI 2) Suppose X = Uier B₁, with each B; C X. If A CX is such that, for each i E I, the subset An B, is dense in B₁, for the induced topology on the subset B, C X, show that A is dense in X.

Exercise 2 Let X be a topological space. TALING TI 2) Suppose X = Uier B₁, with each B; C X. If A CX is such that, for each i E I, the subset An B, is dense in B₁, for the induced topology on the subset B, C X, show that A is dense in X.

Advanced Engineering Mathematics
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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Exercise 2 Part 2
Exercise 2 Let X be a topological space. -==== VALENCI 2) Suppose X = Uier Bi, with each B, C X. If A CX is such that, for each i E I, the subset An B, is dense in B₁, for the induced topology on the subset B, C X, show that A is dense in X.
Transcribed Image Text:Exercise 2 Let X be a topological space. -==== VALENCI 2) Suppose X = Uier Bi, with each B, C X. If A CX is such that, for each i E I, the subset An B, is dense in B₁, for the induced topology on the subset B, C X, show that A is dense in X.
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