Opened Access Homotopy in digital spaces

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Author: Ayala Gómez, Rafael
Domínguez Murillo, Eladio
Francés Román, Ángel Ramón
Quintero Toscano, Antonio Rafael
Department: Universidad de Sevilla. Departamento de Geometría y Topología
Date: 2003-01-15
Published in: Discrete Applied Mathematics, 125 (1), 3-24.
Document type: Article
Abstract: 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 of a digital object is naturally isomorphic to the fundamental group of its continuous analogue. In addition, we state a digital version of the Seifert-Van Kampen theorem.
Cite: Ayala Gómez, R., Domínguez Murillo, E., Francés Román, Á.R. y Quintero Toscano, A.R. (2003). Homotopy in digital spaces. Discrete Applied Mathematics, 125 (1), 3-24.
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DOI: 10.1016/S0166-218X(02)00221-4

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