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Parametrizations of subsets of the space of valuations

  • Josnei Novacoski,
  • Caio Henrique Silva de Souza

摘要

In this paper we present different ways to parametrize subsets of the space of valuations on K[x] extending a given valuation on K. We discuss the methods using pseudo-Cauchy sequences and approximation types. The method presented here is slightly different than the ones in the literature and we believe that our approach is more accurate.