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The Jordan-Brouwer theorem for the digital normal n-space Zn

Published 21 Feb 2013 in cs.DM and math.CO | (1302.5342v1)

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.

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