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Consider the following topology on X = {a, b, c, d, e}: T = {X,0, {a}, {a, b}, {a, c, d}, {a,b, c, d}, {a, b, e}}. (a) List all the elements of the subspace topology TA on A = {a, c, e}. (b) What can you say about {a, c} E TA in relation to X and to A?

Consider the following topology on X = {a, b, c, d, e}: T = {X,0, {a}, {a, b}, {a, c, d}, {a,b, c, d}, {a, b, e}}. (a) List all the elements of the subspace topology TA on A = {a, c, e}. (b) What can you say about {a, c} E TA in relation to X and to A?

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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Consider the following topology on X = {a, b, c, d, e}: T = {X,0, {a}, {a, b}, {a, c, d}, {a,b, c, d}, {a, b, e}}. (a) List all the elements of the subspace topology TA on A = {a, c, e}. (b) What can you say about {a, c} € TA in relation to X and to A?
Transcribed Image Text:Consider the following topology on X = {a, b, c, d, e}: T = {X,0, {a}, {a, b}, {a, c, d}, {a,b, c, d}, {a, b, e}}. (a) List all the elements of the subspace topology TA on A = {a, c, e}. (b) What can you say about {a, c} € TA in relation to X and to A?
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