English

Absoluteness of Fixed Points

General Topology 2025-04-15 v1

Abstract

We characterize those complete commutative positive linear ordered monoids WW such that whenever ff is a map from a Cauchy complete WW-metric space to itself, the existence of a fixed point of ff is independent of the background model of set theory.

Keywords

Cite

@article{arxiv.2504.09729,
  title  = {Absoluteness of Fixed Points},
  author = {Nathanael Ackerman and Mostafa Mirabi},
  journal= {arXiv preprint arXiv:2504.09729},
  year   = {2025}
}
R2 v1 2026-06-28T22:56:53.699Z