QUESTION 15Let f: X, Y be a continuous surjection between metricspaces. If X is compact thenA. X is completeB. Y is connected.C. Y is not compact.D. Y is not neccessarily complete.

Since X is compact , so it is complete. A option is true.

Answered: Let f: X, Y be a continuous surjection…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.2: Integral Domains And Fields

Problem 21E: [Type here] 21. Prove that ifand are integral domains, then the direct sum is not an integral...

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Let f: X, Y be a continuous surjection between metric spaces. If X is compact then A. X is complete B. Y is connected. C. Y is not compact. D. Y is not neccessarily complete.