8 Jul
2010
8 Jul
'10
9:54 p.m.
So-called "digital" topologies are simple and illustrative examples of non-Hausdorff topologies suitable for undergraduate classes. These are finite combinatorial topologies that are used to define connectivity of images on a computer screen. See for instance Chapter 9 of these lecture notes of Christer Kiselman "Digital Geometry and Mathematical Morphology" http://www.math.uu.se/~kiselman/dgmm2004.pdf There is even a Wikipedia article http://en.wikipedia.org/wiki/Digital_topology [For admin and other information see: http://www.mta.ca/~cat-dist/ ]