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Groupoids, the Phragmen-Brouwer Property and the Jordan Curve Theorem

Ronald Brown
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Abstract

We publicise a proof of the Jordan Curve Theorem which relates it to the Phragmen-Brouwer Property, and whose proof uses the van Kampen theorem for the fundamental groupoid on a set of base points.

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Ronald Brown. 2006-07-09. Groupoids, the Phragmen-Brouwer Property and the Jordan Curve Theorem. https://arxiv.org/abs/math/0607229

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