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

Ronald Brown

arxiv: math/0607229 · v1 · submitted 2006-07-09 · 🧮 math.AT

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

Ronald Brown This is my paper

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keywords theoremcurvejordanphragmen-brouwerproofpropertybasefundamental

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

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