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arXiv · 2607.00737

Polar Coordinates and Fundamental Group

Jules Chenal
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Abstract

In this article, we investigate the relationship between the fundamental group of a space and its continuous transformations. To be more precise, we show that if a continuous action of a Lie group on a space admits a simply connected cross-section, then we can build the universal covering of the space using an extension of the Lie group by a discrete group.

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Jules Chenal. 2026-07-01. Polar Coordinates and Fundamental Group. https://arxiv.org/abs/2607.00737

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