We call a subset S of a topological vector space V linearly Borel, if for every finite number n, the set of all linear combinations of S of length n is a Borel subset of V . It will be shown that a Hamel base of an infinite dimensional Banach space can never be linearly Borel. This answers a question of Anatolij Plichko. In the sequel, let X be any infinite dimensional Banach space. A subset S ...

with an arbitrary constant c . As DARBOUX has proved ([4]), this (with nonnegative c's) is also the most general solution of (1) which is nonnegative for positive -Ys (it is even enough to suppose the nonnegativity for small positive x's) . But without any regularity-suppositions (2) isn't anymore the most general solution of (I) . this can be shown and at the same time the most general solutio...

Solitary ascidians have a long legacy as model organisms for investigating developmental mechanisms because of the simplicity of their embryogenesis and their basal phylogenetic position within the chordates (Berrill, 1929; Cameron et al., 2000; Conklin, 1905; Jeffery and Swalla, 1997; Kowalevsky, 1866; Satoh, 1994). The chordate traits that unite ascidians with the cephalochordates and vertebr...

D Beltrán-Valero de Bernabé, H van Bokhoven, E van Beusekom, W Van den Akker, S Kant, W B Dobyns, B Cormand, S Currier, B Hamel, B Talim, H Topaloglu, H G Brunner . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...