Outdated Archival Version

These pages are not updated anymore. They reflect the state of 6 June 2010. For the current production of this journal, please refer to http://www.springer.com/mathematics/geometry/journal/40062.

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

Ronald Brown

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.

Journal of Homotopy and Related Structures, Vol. 1(2006), No. 1, pp. 175-183

http://jhrs.rmi.acnet.ge/volumes/2006/n1a7/