I need the answer as soon as possible Suppose A and B be subsets of metric space.Show that if A is compact and B is closed then A+ B is closed. (using a finite subcover)

Given A and B are subsets of a metric space. and also Given A is compact , and B is closed. We have…

Answered: Suppose A and B be subsets of metric…

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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Suppose A and B be subsets of metric space. Show that if A is compact and B is closed then A + B is closed. (using a finite subcover)