IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Discrete approximation of spaces of homogeneous type
Autor/es:
AIMAR, HUGO; CARENA, MARILINA; IAFFEI, BIBIANA
Revista:
THE JOURNAL OF GEOMETRIC ANALYSIS
Editorial:
Springer
Referencias:
Lugar: Saint Luois; Año: 2008 vol. 19 p. 1 - 18
ISSN:
1050-6926
Resumen:
In this note we combine the dyadic families introduced by M. Christ and
the discrete partitions introduced by J. M. Wu in order to get
approximation of a compact space of homogeneous type by a uniform
sequence of finite spaces of homogeneous type. The convergence holds in
the sense of a metric built on the Hausdorff distance between sets and
on the Kantorovich-Rubinshtein metric between measures.