Selected methods for the classification of cuts, and their applications
Volume 121 / 2020
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.
