dc.creator | Bernal González, Luis | es |
dc.creator | Calderón Moreno, María del Carmen | es |
dc.creator | Prado Bassas, José Antonio | es |
dc.date.accessioned | 2016-06-29T08:53:38Z | |
dc.date.available | 2016-06-29T08:53:38Z | |
dc.date.issued | 2015-02-15 | |
dc.identifier.citation | Bernal González, L., Calderón Moreno, M.d.C. y Prado Bassas, J.A. (2015). The set of space-filling curves: topological and algebraic structure. Linear Algebra and its Applications, 467, 57-74. | |
dc.identifier.issn | 0024-3795 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42893 | |
dc.description.abstract | In this paper, a study of topological and algebraic properties of two families of functions from the unit interval I into the plane R2 is performed. The first family is the collection of all Peano curves, that is, of those continuous mappings onto the unit square. The second one is the bigger set of all space-filling curves, i.e. of those continuous functions I → R2 whose images have positive Jordan content. Emphasis is put on the size of these families, in both topological and algebraic senses, when endowed with natural structures. | es |
dc.description.sponsorship | Plan Andaluz de Investigación (Junta de Andalucía) | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Linear Algebra and its Applications, 467, 57-74. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Peano curve | es |
dc.subject | Space-filling curve | es |
dc.subject | Lineability | es |
dc.subject | Spaceability | es |
dc.subject | Algebrability | es |
dc.title | The set of space-filling curves: topological and algebraic structure | 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 Análisis Matemático | es |
dc.relation.projectID | FQM-127 | es |
dc.relation.projectID | P08-FQM-03543 | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2012- 34847-C02-01 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.laa.2014.11.014 | es |
dc.identifier.doi | 10.1016/j.laa.2014.11.014 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 16 p. | es |
dc.journaltitle | Linear Algebra and its Applications | es |
dc.publication.volumen | 467 | es |
dc.publication.initialPage | 57 | es |
dc.publication.endPage | 74 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42893 | |
dc.contributor.funder | Junta de Andalucía | |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | |