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

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.

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

References in corpus (2)

• The fundamental groupoid of the quotient of a Hausdorff space by a discontinuous action of a discrete group is the orbit groupoid of the induced action
• A proof of Higgins' conjecture