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arXiv · 1412.0134

Classification of digital n-manifolds

Alexander V. Evako
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Abstract

This paper presents the classification of digital n-manifolds based on the notion of complexity and homotopy equivalence. We introduce compressed n-manifolds and study their properties. We show that any n-manifold with p points is homotopy equivalent to a compressed n-manifold with m points, m<p. We design an algorithm for the classification of digital n-manifolds of any dimension n.

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Alexander V. Evako. 2014-11-29. Classification of digital n-manifolds. https://arxiv.org/abs/1412.0134

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