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arxiv: 1803.07806 · v1 · pith:ZMLI46ZLnew · submitted 2018-03-21 · 🧮 math.AC · math.RA

Selected methods for the classification of cuts, and their applications

classification 🧮 math.AC math.RA
keywords cutsapplicationsinvarianceorderedabeliananalysisapproachesball
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We consider four approaches to the analysis of cuts in ordered abelian groups and ordered fields, their interconnection, and various applications. The notions we discuss are: ball cuts, invariance group, invariance valuation ring, and cut cofinality.

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