Article
Homotopy in digital spaces
Author/s | Ayala Gómez, Rafael
Domínguez Murillo, Eladio Francés Román, Ángel Ramón Quintero Toscano, Antonio Rafael |
Department | Universidad de Sevilla. Departamento de Geometría y Topología |
Publication Date | 2003-01-15 |
Deposit Date | 2016-07-12 |
Published in |
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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 ... 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. |
Funding agencies | Dirección General de Investigación Científica y Técnica (DGICYT). España Dirección General de Enseñanza Superior. España |
Project ID. | DGICYT PB96-1374
DGES PB96-0098C04-01 |
Citation | 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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