English

Selected methods for the classification of cuts, and their applications

Commutative Algebra 2018-03-22 v1 Rings and Algebras

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.

Keywords

Cite

@article{arxiv.1803.07806,
  title  = {Selected methods for the classification of cuts, and their applications},
  author = {Franz-Viktor Kuhlmann},
  journal= {arXiv preprint arXiv:1803.07806},
  year   = {2018}
}
R2 v1 2026-06-23T00:59:57.725Z