Computational Topology for Regular Closed Sets
Abstract
The Boolean algebra of regular closed sets is prominent in topology, particularly as a dual for the StoneCech compactification. This algebra is also central for the theory of geometric computation, as a representation for combinatorial operations on geometric sets. However, the issue of computational approximation introduces unresolved subtleties that do not occur within "pure" topology. One major effort towards reconciling this mathematical theory with computational practice is our ongoing ITANGO project. The acronym ITANGO is an abbreviation for "Intersections  Topology, Accuracy and Numerics for Geometric Objects". The longrange goals and initial progress of the ITANGO team in development of computational topology are presented.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 February 2004
 arXiv:
 arXiv:math/0402446
 Bibcode:
 2004math......2446P
 Keywords:

 Mathematics  General Topology;
 65D18
 EPrint:
 12 pages, 4 figures