On Weak-Fragmentability of Banach Spaces

Abstract

Many characterizations of fragmentability of topological spaces have been investigated. In this paper we deal with some properties of weak-fragmentability of Banach spaces.

Fragmentability by the Discrete Metric

“…In [7], topological spaces (X, τ) that are fragmented by a metric that generates the discrete topology were investigated. In this paper we show, among other things, that such spaces are σ-scattered.…”