# Remark on a theorem of H. Hauser on textile maps

## TL;DR

This paper challenges a recent theorem on Artin approximation by providing a counterexample, then offers a corrected statement and proof to clarify the theorem's validity.

## Contribution

It identifies an error in a recent survey's theorem on textile maps and supplies a corrected version with a valid proof.

## Key findings

- Counterexample disproves the recent theorem
- Corrected theorem statement provided
- Validated proof of the corrected theorem

## Abstract

We give a counter example to the new theorem that appeared in the survey \cite{H} on Artin approximation. We then provide a correct statement and a proof of it.