Answered: Consider the number line R with the…

Consider the number line R with the topology t = {Ø, R, (-0, a); a E R}. Is the set A = (-3, 0] compact? Prove your answer using finite covers.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 19E: For each of the following relations R defined on the set A of all triangles in a plane, determine...

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Consider the number line R with the topology t = {Ø,
R, (-0, a); a E R}.
Is the set A = (-3, 0] compact? Prove your answer
using finite covers.

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