Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Material: Daly analysis
1.3.2. Let f: X → Y be a function, let B be a subset of Y, and let {B;}ie1
be a family of subsets of Y. Prove that
U B.
US(B.),
n (B.),
iel
iel
iel
and f-(BC)
surjective then equality holds. Show by example that equality need not hold
if f is not surjective.
(S'(B))°. Aso prove that f(S-"(B)) C B, and if f is
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Transcribed Image Text:1.3.2. Let f: X → Y be a function, let B be a subset of Y, and let {B;}ie1 be a family of subsets of Y. Prove that U B. US(B.), n (B.), iel iel iel and f-(BC) surjective then equality holds. Show by example that equality need not hold if f is not surjective. (S'(B))°. Aso prove that f(S-"(B)) C B, and if f is
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