Exercise 1.1.6, which asks for a proof that if A is a nonvoid subset of an ordered set S, and A is bounded above, and sup A exists in S but is not an element of A, then A contains a countably infinite subset.
Exercise 1.1.6, which asks for a proof that if A is a nonvoid subset of an ordered set S, and A is bounded above, and sup A exists in S but is not an element of A, then A contains a countably infinite subset.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 27E: 27. Let , where and are nonempty. Prove that has the property that for every subset of if and...
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