Jayne, J. E.; Namioka, I.; Rogers, C. A. Fragmentability and \(\sigma\)-fragmentability. (English) Zbl 0801.46011 Fundam. Math. 143, No. 3, 207-220 (1993). Summary: Recent work has studied the fragmentability and \(\sigma\)-fragmentability properties of Banach spaces. Here examples are given that justify the definitions that have been used. The fragmentability and \(\sigma\)- fragmentability properties of the spaces \(\ell^ \infty\) and \(\ell_ c^ \infty (\Gamma)\), with \(\Gamma\) uncountable, are determined. Cited in 1 ReviewCited in 14 Documents MSC: 46B26 Nonseparable Banach spaces 46B20 Geometry and structure of normed linear spaces Keywords:fragmentability PDFBibTeX XMLCite \textit{J. E. Jayne} et al., Fundam. Math. 143, No. 3, 207--220 (1993; Zbl 0801.46011) Full Text: DOI EuDML