Topology Proceedings
Document # baak-28
Electronic Version 24 Summer (1999) |
|
 |
Towards computing homology from finite approximations
V. Robins
We consider the problem of extrapolating the homology of a compact metric space from a finite point-set approximation. Our approach is based on inverse systems of \epsilon-neighborhoods and inclusion maps. We show that the inclusion maps are necessary to identify topological features in an \epsilon-neighborhood that persist in the limit as \epsilon --> 0. We outline a possible algorithm for computer implementation. As test examples, we present data for some iterated function system relatives of the Sierpinski triangle.
Volume 24 Summer: table of contents,
information on access
Topology Proceedings Electronic Version
Copyright © 2001
Nipissing University
and Topology Atlas |
Date published electronically: March 5, 2001.