most citedThe Poincare conjecture for digital spaces. Properties of digital n-dimensional disks and spheres

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cs.DM2006

Connection between continuous and digital n-manifolds and the Poincare conjecture

Alexander Evako

We introduce LCL covers of closed n-dimensional manifolds by n-dimensional disks and study their properties. We show that any LCL cover of an n-dimensional sphere can be converted…

cs.DM2006★ 1 cited

The Poincare conjecture for digital spaces. Properties of digital n-dimensional disks and spheres

Alexander V. Evako

Motivated by the Poincare conjecture, we study properties of digital n-dimensional spheres and disks, which are digital models of their continuous counterparts. We introduce homeom…