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arXiv · 2504.09729

Absoluteness of Fixed Points

Nathanael Ackerman·Mostafa Mirabi
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Abstract

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

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Nathanael Ackerman, Mostafa Mirabi. 2025-04-13. Absoluteness of Fixed Points. https://arxiv.org/abs/2504.09729

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