Selected methods for the classification of cuts, and their applications

Volume 121 / 2020

Franz-Viktor Kuhlmann Banach Center Publications 121 (2020), 85-106 MSC: 06F20, 12J10, 12J15, 12J20, 13J30. DOI: 10.4064/bc121-9

Abstract

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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