# A Note on "Spaces of Topological Complexity One"

## TL;DR

This paper revises a crucial lemma in the study of topological complexity, clarifying the conditions needed for spaces of topological complexity one.

## Contribution

It provides a corrected reformulation of a key lemma that was previously overlooked, enhancing the theoretical understanding of topological complexity.

## Key findings

- Clarified the conditions for spaces with topological complexity one
- Corrected a key lemma in the existing literature
- Improved theoretical foundations for topological complexity

## Abstract

Here we give a reformulation of a key lemma in the paper [2], "Spaces of Topological Complexity One", which is necessary due to an oversight.