Three space property for σ-fragmentability.

Autor: Ribarska, Nadezhda K.
Zdroj: Mathematika; Jun1998, Vol. 45 Issue 1, p113-118, 6p
Abstrakt: Let X be a Hausdorff topological space and let ρ be a metric on it, not necessarily related to the topology. The space X is said to be fragmented by the metric ρ if each nonempty set in X has nonempty relatively open subsets of arbitrary small ρ-diameter. This concept was introduced by Jayne and Rogers (see [2]) while they studied the existence of Borel selections for upper semicontinuous set-valued maps. [ABSTRACT FROM PUBLISHER]
Databáze: Complementary Index