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Give the definition of a separable metric space (S, d). Show that the metric space (IR, d), where d(x, y) = |x – y|, is separable. -

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.2: Vector Spaces

Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...

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Give the definition of a separable metric space (S, d).
Show that the metric space (IR, d), where d(x, y) = |x – y|, is separable.
-

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