INVESTIGADORES
TOSCHI Marisa
artículos
Título:
On s-set in space of homogeneous type
Autor/es:
CARENA. MARILINA; TOSCHI, MARISA
Revista:
COLLOQUIUM MATHEMATICUM
Editorial:
INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES
Referencias:
Año: 2015 vol. 138 p. 193 - 203
ISSN:
0010-1354
Resumen:
Abstract. Let (X, d, μ) be a space of homogeneous type. We study the relationship between two types of s-sets: relative to a distance and relative to a measure. We find a condition on a closed subset F of X under which F is an s-set relative to the measure μ if and only if F is an s-set relative to δ. Here δ denotes the quasi-distance defined by Macías and Segovia such that (X, δ, μ) is a normal space. In order to prove this result, we prove a covering type lemma and a type of Hausdorff measure based criterion for a given set to be an s-set relative to μ.