Let (An) be a nested decreasing sub-sequence of nonempty closed sets in the metric space M (a)
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Let (An) be a nested decreasing sub-sequence of nonempty closed sets in the metric space M
(a) If M is complete and diam A_n → ∞ as n → ∞, show that ⋂A_n is exactly one point.
(b) To what assertions do the sets [n, ∞) provide counter examples?
Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
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