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

Mathematics – Algebraic Topology

Scientific paper

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to be published in "Journal of Homotopy and Related Structures"

Scientific paper

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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