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 - Linear continuum - Document - PDFSEARCH.IO

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	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 Document Date: 2013-09-10 16:37:35 Open Document File Size: 69,02 KB Share Result on Facebook Facility College Math / / Organization National Science Foundation / / Person PETE L. CLARK / W. Duren / Jr. / / Position author / / ProvinceOrState Nova Scotia / / SocialTag 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. ThiAdd to Reading List