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Introduction. In his monograph On Numbers and Games [7], J. H. Conway introduced a real-closed field containing the reals and the ordinals as well as a great many other numbers including-co, co/2, 1/co, wS and co-7T to name only a few. Indeed, this particular real-closed field, which Conway calls No, is so remarkably inclusive that, subject to the proviso… (More)

- P. EHRLICH
- 1997

A Dedekind cut of an ordered abelian group G is a pair (X, Y) of nonempty subsets of G where Y = G −X and every member of X precedes every member of Y. A Dedekind cut (X, Y) is said to be continuous if X has a greatest member or Y has a least member, but not both; if every Dedekind cut of G is a continuous cut, G is said to be (Dedekind) continuous. The… (More)

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