An addendum to `A rigidity property for the set of all characters induced by valuations'

TL;DR

This paper provides corrections and additional insights to a previous work on the rigidity properties of character sets induced by valuations, clarifying earlier comments and extending the theoretical framework.

Contribution

It offers a corrected and expanded analysis of the rigidity properties related to characters induced by valuations, refining prior results.

Findings

Clarified previous comments on the rigidity property

Extended the theoretical framework for characters and valuations

Provided corrected proofs and additional insights

Abstract

This corrects and amplifies some comments made in a paper by Robert Bieri and the author with the above title.