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Let (X, d) be a metric space, x E X, e > 0, and E = {y Ex: d(x, y) ≤ e}. Prove that E is closed.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.2: The Kernewl And Range Of A Linear Transformation

Problem 56E: Which vector spaces are isomorphic to R6? a M2,3 b P6 c C[0,6] d M6,1 e P5 f C[3,3] g...

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Question

Let (X, d) be a metric space, x E X, e > 0, and E = {y e X: d(x, y) ≤ e}. Prove
that E is closed.

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