Artículo

Assouad dimensions of complementary sets

Garcia, Ignacio AndresIcon ; Hare, Kathryn; Mendivil, Franklin
Fecha de publicación: 07/2018
Editorial: Royal Society of Edinburgh
Revista: Proceedings Of The Royal Society Of Edinburgh Section A-mathematics
ISSN: 0308-2105
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

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.
Palabras clave: ASSOUAD DIMENSION , COMPLEMENTARY SETS , CANTOR SETS
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/89215
DOI: http://dx.doi.org/10.1017/S0308210517000488
URL: https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edin
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Articulos(IFIMAR)
Articulos de INST.DE INVESTIGACIONES FISICAS DE MAR DEL PLATA
Citación
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
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