In this paper we show that although
(
border=0 SRC=/images/glyphs/BUK.GIF>∞/cb>0b>,weak) is sigma-fragmented
by some metric it cannot
be decomposed into counta
bly many fragmenta
ble su
bspaces. Likewise, we show that although the dual space of the continuous functions defined on the dou
ble arrow space is weak
* sigma-fragmented
by some metric, it too cannot
be decomposed into a counta
ble union of fragmenta
ble su
bspaces.