  We prove some theorems on decomposable continua. In particular, we prove; (i)
the property of being a Wilder continuum is not a Whitney reversible property,
(ii) inverse limits of D**-continua with surjective monotone upper
semi-continuous bonding functions are D**, and (iii) there exists a
D**-continuum which contains neither Wilder continua nor D*-continua. Also, we
show the existence of a Wilder continuum containing no D*-continua and a
D*-continuum containing no Wilder continua.
