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Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.1: Vector Spaces And Subspaces

Problem 42EQ

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Question

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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