Let A be a subset of a topological space X. Show that bd(A) = Ø iff A is open andclosed in X.

We need to prove the statement.

Answered: Let A be a subset of a topological…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter7: Real And Complex Numbers

Section7.2: Complex Numbers And Quaternions

Problem 48E

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Let A be a subset of a topological space X. Show that bd(A) = Ø iff A is open and closed in X.