dc.creator | Ayala Gómez, Rafael | es |
dc.creator | Domínguez Murillo, Eladio | es |
dc.creator | Francés Román, Ángel Ramón | es |
dc.creator | Quintero Toscano, Antonio Rafael | es |
dc.date.accessioned | 2016-07-08T07:44:55Z | |
dc.date.available | 2016-07-08T07:44:55Z | |
dc.date.issued | 2004-04-30 | |
dc.identifier.citation | 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. | |
dc.identifier.issn | 0166-218X | es |
dc.identifier.uri | http://hdl.handle.net/11441/43376 | |
dc.description.abstract | 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. | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Discrete Applied Mathematics, 139 (1-3), 5-30. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Digital homotopy | es |
dc.subject | Digital fundamental group | es |
dc.subject | Lighting functions | es |
dc.title | Digital homotopy with obstacles | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Geometría y Topología | es |
dc.relation.projectID | DGES PB96-1374 | es |
dc.relation.projectID | DGES TIC2000-1368-C03-01 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.dam.2003.08.002 | es |
dc.identifier.doi | 10.1016/j.dam.2003.08.002 | es |
dc.contributor.group | Universidad de Sevilla. FQM189: Homotopia Propia | es |
idus.format.extent | 23 p. | es |
dc.journaltitle | Discrete Applied Mathematics | es |
dc.publication.volumen | 139 | es |
dc.publication.issue | 1-3 | es |
dc.publication.initialPage | 5 | es |
dc.publication.endPage | 30 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/43376 | |
dc.contributor.funder | Dirección General de Enseñanza Superior. España | |