Classification of digital n-manifolds
Discrete Mathematics
2014-12-02 v1
Abstract
This paper presents the classification of digital n-manifolds based on the notion of complexity and homotopy equivalence. We introduce compressed n-manifolds and study their properties. We show that any n-manifold with p points is homotopy equivalent to a compressed n-manifold with m points, m<p. We design an algorithm for the classification of digital n-manifolds of any dimension n.
Cite
@article{arxiv.1412.0134,
title = {Classification of digital n-manifolds},
author = {Alexander V. Evako},
journal= {arXiv preprint arXiv:1412.0134},
year = {2014}
}
Comments
10 pages, 8 figures, Discrete Applied Mathematics, In Press, Available online 16 September 2014. arXiv admin note: text overlap with arXiv:1307.1371