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Artículo
On the connectivity of infinite graphs and 2-complexes
(Elsevier, 1999)
This paper contains a study of the connectivity of infinite graphs and 2-complexes. Various connectivity types are defined and relationships among them are given. In addition new Menger-Whitney type theorems are stated for ...
Artículo
Homotopy in digital spaces
(Elsevier, 2003-01-15)
The main contribution of this paper is a new “extrinsic” digital fundamental group that can be readily generalized to define higher homotopy groups for arbitrary digital spaces. We show that the digital fundamental group ...
Artículo
The equivariant category of proper G-Spaces
(Rocky Mountain Mathematics Consortium, 2001)
Artículo
A digital index theorem
(World Scientific Publishing, 2001-11)
This paper is devoted to prove a Digital Index Theorem for digital (n − 1)-manifolds in a digital space (Rn, f), where f belongs to a large family of lighting functions on the standard cubical decomposition Rn of the ...
Ponencia
On surfaces in digital topology
(1995)
In R. Ayala, E. Domínguez, A.R. Francés, A. Quintero, J. Rubio. A Polyhedral Approach to Digital Topology a new framework for digital topology has been proposed. This framework offers the possibility of transfering, in an ...
Artículo
On the Graphs which are the Edge of a Plane Tiling
(Mathematica Scandinavica, 1995)