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: New York; Año: 2009 vol. 19 p. 1 - 18
ISSN:
1050-6926
Resumen:
In this note we combine the dyadic families introduced by M. Christ in (Colloq. Math. 60/61 (2): 601–628, 1990) and the discrete partitions introduced by J.M. Wu in (Proc. Am. Math. Soc. 126(5):1453–1459, 1998) 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 compact sets and on the Kantorovich-Rubinshtein metric between measures.