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From: Erik Palmgren <palmgren@math.uu.se>
To: Paul Taylor <pt10@PaulTaylor.EU>
Cc: categories@mta.ca
Subject: Re: non-Hausdoff topology
Date: Thu, 8 Jul 2010 13:54:14 +0200 (CEST)	[thread overview]
Message-ID: <E1OXDa2-0004Dc-DB@mailserv.mta.ca> (raw)
In-Reply-To: <E1OWUJr-0001sQ-5a@mailserv.mta.ca>


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



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  parent reply	other threads:[~2010-07-08 11:54 UTC|newest]

Thread overview: 11+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2010-07-07  8:31 Paul Taylor
2010-07-07 13:35 ` Vaughan Pratt
2010-07-08 16:45   ` Steven Vickers
2010-07-07 14:27 ` Robert J. MacG. Dawson
2010-07-07 14:40 ` Martin Escardo
2010-07-07 15:24 ` Jeff Egger
2010-07-07 16:12 ` Steve Vickers
2010-07-07 17:28 ` Michael Barr
2010-07-08 11:54 ` Erik Palmgren [this message]
2010-07-08  3:19 Vaughan Pratt
2010-07-09 14:10 ` Steve Vickers

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