18 citations · 28 across the 18 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
cs.DM2013
On digital simply connected spaces and manifolds: a digital simply connected 3-manifold is the digital 3-sphere
Alexander Evako
In the framework of digital topology, we study structural and topological properties of digital n-dimensional manifolds. We introduce the notion of simple connectedness of a digita…
cs.DM2013
The Jordan-Brouwer theorem for the digital normal n-space Zn
Alexander V. Evako
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 p…
cs.DM2013
Variable density preserving topology grids and the digital models for the plane
Alexander Evako
We define LCL decompositions of the plane and investigate the advantages of using such decompositions in the context of digital topology. We show that discretization schemes based…