The Jordan-Brouwer theorem for the digital normal n-space Zn
Discrete Mathematics
2013-02-22 v1 Combinatorics
Abstract
In this paper we investigate properties of digital spaces which are represented by graphs. We find conditions for digital spaces to be digital n-manifolds and n-spheres. We study properties of partitions of digital spaces and prove a digital analog of the Jordan-Brouwer theorem for the normal digital n-space Zn.
Cite
@article{arxiv.1302.5342,
title = {The Jordan-Brouwer theorem for the digital normal n-space Zn},
author = {Alexander V. Evako},
journal= {arXiv preprint arXiv:1302.5342},
year = {2013}
}
Comments
10 pages, 9 figures