topology campact part 1 and 2 Q6: ) Suppose (X, 7) is aftopological space, and p a point not inQ = {UU {p}, UET, and X - U is compact).a) Show that T = QUT is a topology on Y.b) Show that Y is compact.and let

Let's go through the two parts of the question:a) To show that T=Q∪T is a topology on Y=X∪{p}, need…

Answered: Q6: ) Suppose (X, 7) is aftopological…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 21E

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Q6: ) Suppose (X, 7) is aftopological space, and p a point not in X. Let Q = {UU {p}, UET, and X-U is compact). a) Show that T-QUT is a topology on Y. b) Show that Y is compact. {p} and let