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Author(s)
Alexander V. Evako, Npk Novotek, Moscow, Russia
Abstract
In the present paper, we study basic properties of digital ndimensional manifolds and digital simply connected spaces. An important property of a digital nmanifold is that M is a digital nsphere if and only if for any point v of M, Mv is a digital ndisk. It is proved that a digital (n1)sphere S contained a digital nsphere M is a separating space of M. We show that a digital nmanifold can be converted to the compressed form by sequential contractions of simple pairs of adjacent points. We study structural features of digital simply connected spaces. In particular, we show that a digital (n1)sphere S in a digital simply connected nmanifold M is a separating space for M, and if a digital 3manifold M is locally simply connected, then M is a digital 3sphere.
Keywords
Digital Topology; Topological space; Separation; Digital simply connected space
Cite this paper
Alexander V. Evako,
Properties of Digital nDimensional Spheres and Manifolds. Separation of Digital Manifolds, SCIREA Journal of Mathematics. Vol.
3
, No.
1
,
2018
, pp.
29

56
.
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