INDUCTION AND COMPLETENESS IN ORDERED SETS PETE L. CLARK Abstract. We deﬁne an inductive subset of an ordered set and show that an ordered set X is Dedekind complete iﬀ the only inductive subset of X is X itself. Thi

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Date: 2013-09-10 16:37:35 Abstraction Linear continuum Least-upper-bound property Supremum Order topology Filter Construction of the real numbers Mathematics Order theory Structure		INDUCTION AND COMPLETENESS IN ORDERED SETS PETE L. CLARK Abstract. We deﬁne an inductive subset of an ordered set and show that an ordered set X is Dedekind complete iﬀ the only inductive subset of X is X itself. Thi Add to Reading List Source URL: math.uga.edu Download Document from Source Website File Size: 69,02 KB Share Document on Facebook

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