Exercise. Suppose that (X, p) is a metric space.ر فائيلProve that the intersection of any collection of complete subsets ofX is complete.b) Prove that the union of a finite number of complete subsets of Xis complete.

Answered: Exercise. Suppose that (X, p) is a…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.4: Spanning Sets And Linear Independence

Problem 25E: Determine whether the set S={1,x2,2+x2} spans P2.

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Exercise. Suppose that (X, p) is a metric space. ر فائيل Prove that the intersection of any collection of complete subsets of X is complete. b) Prove that the union of a finite number of complete subsets of X is complete.