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dc.contributor.author
Garcia, Ignacio Andres  
dc.contributor.author
Hare, Kathryn  
dc.contributor.author
Mendivil, Franklin  
dc.date.available
2019-11-19T19:05:25Z  
dc.date.issued
2018-07  
dc.identifier.citation
Garcia, Ignacio Andres; Hare, Kathryn; Mendivil, Franklin; Assouad dimensions of complementary sets; Royal Society of Edinburgh; Proceedings Of The Royal Society Of Edinburgh Section A-mathematics; 148; 3; 7-2018; 517-540  
dc.identifier.issn
0308-2105  
dc.identifier.uri
http://hdl.handle.net/11336/89215  
dc.description.abstract
Given a positive, decreasing sequence a, whose sum is L, we consider all the closed subsets of [0, L] such that the lengths of their complementary open intervals are in one-to-one correspondence with the sequence a. The aim of this paper is to investigate the possible values that Assouad-type dimensions can attain for this class of sets. In many cases, the set of attainable values is a closed interval whose endpoints we determine.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Royal Society of Edinburgh  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
ASSOUAD DIMENSION  
dc.subject
COMPLEMENTARY SETS  
dc.subject
CANTOR SETS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Assouad dimensions of complementary sets  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-10-22T15:07:58Z  
dc.journal.volume
148  
dc.journal.number
3  
dc.journal.pagination
517-540  
dc.journal.pais
Reino Unido  
dc.journal.ciudad
Edinburgo  
dc.description.fil
Fil: Garcia, Ignacio Andres. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina  
dc.description.fil
Fil: Hare, Kathryn. University of Waterloo; Canadá  
dc.description.fil
Fil: Mendivil, Franklin. Acadia University; Canadá  
dc.journal.title
Proceedings Of The Royal Society Of Edinburgh Section A-mathematics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1017/S0308210517000488  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/assouad-dimensions-of-complementary-sets/376B1D2E0F4BA421F74D69D1D7741B42  

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