Exercise 2. Assume that (X, T) is a topological space. a) If A, B are subsets of X with AC B, show that A C B. b) If A₁,..., Ae is a finite family of subset of X show that A₁ UU An = Ã₁ U... U Ān.
Exercise 2. Assume that (X, T) is a topological space. a) If A, B are subsets of X with AC B, show that A C B. b) If A₁,..., Ae is a finite family of subset of X show that A₁ UU An = Ã₁ U... U Ān.
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:Exercise 2. Assume that (X, T) is a topological space.
a) If A, B are subsets of X with AC B, show that A C B.
b) If A₁,..., Ae is a finite family of subset of X show that
A₁ UU An = Ã₁ U... U Ān.
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