Using the notation of the preceding exercise, let A, B be sets in R. Show that Ao

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Using the notation of the preceding exercise, let A, B be sets in R. Show that Ao ⊂ (Ao)o = Ao and that (A ∩ B)o = Ao ∩ Bo. Show also that Ao ⋃ Bo ⊂ (A ⋃ B)o, and give an example to show that the inclusion may be proper.
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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