Pseudometric space 1. Consider the pseudometric space (X, d) where X = R and d is thediscrete pseudometric.(a)(b)Prove that C(0; 1) = {0}.True or False: C(0; 1) is d-open.True or False: C(0; 1) is d-closed.

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Answered: 1. Consider the pseudometric space (X,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 20E

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1. Consider the pseudometric space (X, d) where X = R and d is the discrete pseudometric. (b) (c) (6 Prove that C(0; 1) = {0}. True or False: C(0; 1) is d-open. True or False: C(0; 1) is d-closed.