Show that both R and R² may be covered by countably many open balls.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 46E
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Show that both ℝ and ℝ2 may be covered by countably many open balls.
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