Consider R² with the usual topology, let A and B be two subsets of R2. We denote the closure of a set C as C and the interior of C as C° prove a) AUB=A UB b) (An B) = A°N B°

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 68E
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Consider R² with the usual topology, let A and B be two subsets of R2. We denote
the closure of a set C as C and the interior of C as C° prove
a) AUB=AUB
b) (ANB) = A OBⓇ
Transcribed Image Text:Consider R² with the usual topology, let A and B be two subsets of R2. We denote the closure of a set C as C and the interior of C as C° prove a) AUB=AUB b) (ANB) = A OBⓇ
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