3.4 and 3.5 please 3.4 Give the definition of a separable metric space (S, d).3.5 Show that the metric space (R, d), where d(r, y) = |r – y|, is separable.3.6 Prove that a closed set in the metric space (S, d) either is nowhere dense in S orelse contains some nonemnpty open set.

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3.4 Give the definition of a separable metric space (S, d). 3.5 Show that the metric space (R, d), where d(r, y) = |x – y|, is separable.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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