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The Lindelöf property in Banach spaces

The Lindelöf property in Banach spaces

A topological space $(T,\tau)$ is said to be fragmented by a metric $d$ on $T$ if each non-empty subset of $T$ has non-empty relatively open subsets of arbitrarily small $d$-diameter. The basic theorem of the present paper is the following. Let $(M,\varrh