Artículo
Digital homotopy with obstacles
Autor/es | Ayala Gómez, Rafael
Domínguez Murillo, Eladio Francés Román, Ángel Ramón Quintero Toscano, Antonio Rafael |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2004-04-30 |
Fecha de depósito | 2016-07-08 |
Publicado en |
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Resumen | As a sequel of [4] Ayala, R., E. Dom´ıguez, A. R. Franc´es and A. Quintero, Homotopy in Digital Spaces, Discrete and Applied Mathematics, To Appear, this paper is devoted to the computation of the digital fundamental group ... As a sequel of [4] Ayala, R., E. Dom´ıguez, A. R. Franc´es and A. Quintero, Homotopy in Digital Spaces, Discrete and Applied Mathematics, To Appear, this paper is devoted to the computation of the digital fundamental group π d 1 (O/S; σ) defined by loops in the digital object O for which the digital object S acts as an “obstacle”. We prove that for arbitrary digital spaces the group π d 1 (O/S; σ) maps onto the usual fundamental group of the difference of continuous analogues |AO∪S | − |AS |. Moreover, we show that this epimorphism turns to be an isomorphism for a large class of digital spaces including most of the examples in digital topology. |
Agencias financiadoras | Dirección General de Enseñanza Superior. España |
Identificador del proyecto | DGES PB96-1374
DGES TIC2000-1368-C03-01 |
Cita | Ayala Gómez, R., Domínguez Murillo, E., Francés Román, Á.R. y Quintero Toscano, A.R. (2004). Digital homotopy with obstacles. Discrete Applied Mathematics, 139 (1-3), 5-30. |
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