Separation Theorems for Simplicity 26-Surfaces

  • J. C. Ciria
  • E. Domínguez
  • A. R. Francés
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2301)

Abstract

The main goal of this paper is to prove a Digital Jordan- Brouwer Theorem and an Index Theorem for simplicity 26-surfaces. For this, we follow the approach to Digital Topology introduced in [2], and find a digital space such that the continuous analogue of each simplicity 26-surface is a combinatorial 2-manifold. Thus, the separation theorems quoted above turn out to be an immediate consequence of the general results obtained in [2] and [3] for arbitrary digital n-manifolds.

Keywords

Digital surface simplicity 26-surface digital separation theorems 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • J. C. Ciria
    • 1
  • E. Domínguez
    • 1
  • A. R. Francés
    • 1
  1. 1.Dpt. de Informática e Ingeniería de Sistemas. Facultad de CienciasUniversidad de ZaragozaZaragozaSpain

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