INVESTIGADORES
GARCIA Ignacio Andres
artículos
Título:
Assouad dimensions of complementary sets
Autor/es:
IGNACIO GARCIA; HARE, KATHRYN; MENDIVIL, FRANKLIN
Revista:
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Editorial:
ROYAL SOC EDINBURGH
Referencias:
Lugar: Edinburgo; Año: 2018 vol. 148 p. 517 - 540
ISSN:
0308-2105
Resumen:
Given a positive, decreasing sequence $a$, whose sum is $L$, we consider allthe closed subsets of $[0,L]$ such that the lengths of their complementaryopen intervals are in one to one correspondence with the sequence $a$. Theaim of this note is to investigate the possible values that Assouad-typedimensions can attain for this class of sets. In many cases, the set ofattainable values is a closed interval whose endpoints we determine.
