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Take any r > 0 and any c ∈ R. Show that the r-ball Br( c ) is an open subset of R.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 26E: 26. Let and. Prove that for any subset of T of .

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Take any r > 0 and any c ∈ R. Show that the r-ball B_r( c ) is an open subset of R.

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