There are disclosed star shaped thermoplastic elastomers made of acrylic
block copolymers obtained by transition metal catalysed radical
polymerisation. The elastomers comprise core arms obtained from monomers
or mixture of monomers, whose T.sub.g is from about -65.degree. C. to
about -20.degree. C., and of shell arms obtained from monomers or mixture
of monomers, whose T.sub.g is from about 70.degree. C. to about
160.degree. C. The core copolymer has a polydispersity of 2 or higher and
the final copolymer has a polydispersity of from 3 to 10.