Exercise 5 Let X = (a, b, c, d, e) and let T = {X, 0, (a), (c,d), {a,c,d), (b, c, d, e]) is a topology on X. Find the closure A, the interior Å, the exterior Ext(A) and the boundary b(A) of the following sets: A₁ = 0, A₂ = X₁ A₂ = {a, c) Soluti

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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Exercise 5
Let X = {a, b,c, d, e) and let T = {X, 0, (a), (c. d), (a, c, d), (b,c, d,e}} is a
topology on X. Find the closure Ā , the interior Å, the exterior Ext(A) and
the boundary b(A) of the following sets:
%3D
A = 0,
Az = X,
Az = {a, c)
Solution:.
Transcribed Image Text:Exercise 5 Let X = {a, b,c, d, e) and let T = {X, 0, (a), (c. d), (a, c, d), (b,c, d,e}} is a topology on X. Find the closure Ā , the interior Å, the exterior Ext(A) and the boundary b(A) of the following sets: %3D A = 0, Az = X, Az = {a, c) Solution:.
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