info:eu-repo/semantics/publishedVersion
Balls as subspaces of homogeneous type: on a construction due to R. Macías and C. Segovia
Fecha
2010Registro en:
Aimar, Hugo Alejandro; Balls as subspaces of homogeneous type: on a construction due to R. Macías and C. Segovia; Birkhäuser; 2010; 25-36
978-0-8176-4531-1
CONICET Digital
CONICET
Autor
Aimar, Hugo Alejandro
Resumen
In this chapter we give an equivalent point of view for quasi-metricstructures on a set X in terms of families of neighborhoods of the diagonal in X×X.We use this approach and the iterative process introduced by R. Macías and C.Segovia in.A well behaved quasi-distance for spaces of homogeneous type (Trabajosde Matemática, IAM, 32, 1981, 1?18) in order to show that the balls in the newquasi-distance have a specific regularity at the boundary.