@inbook {IOPORT.02087450,
    author       = {Ciria, J.C. and Dom\'\i nguez, E. and Franc\'es, A.R.},
    title        = {Separation theorems for simplicity 26-surfaces.},
    year         = {2002},
    booktitle    = {Discrete geometry for computer imagery. 10th international conference, DGCI 2002, Bordeaux, France, April 3--5, 2002. Proceedings},
    isbn         = {3-540-43380-5},
    pages        = {45-56},
    publisher    = {Berlin: Springer},
    abstract     = {Summary: 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 by {\it R. Ayala}, {\it E. Dom\'\i nguez}, {\it A. R. Franc\'es} and {\it A. Quintero} [\lq\lq Weak lighting functions and strong 26-surfaces", Theor. Comput. Sci. 283, No. 1, 29--66 (2002; Zbl 1050.68144)], 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 by the authors of the paper cited above [loc. cit. and \lq\lq A digital index theorem", Int. J. Pattern Recogn. Artif. Intell. 15, No. 7, 1--22 (2001)] for arbitrary digital $n$-manifolds.},
    identifier   = {02087450},
}