  In a previous paper, we constructed complete manifolds of positive Ricci
curvature with quadratically asymptotically nonnegative curvature and infinite
topological type but dimension $\ge 6$. The purpose of the present paper is to
use a different way to exhibit a family of complete $I$-dimensinal ($I\ge5$)
Riemannian manifolds of positive Ricci curvature, quadratically asymptotically
nonnegative sectional curvature, and certain infinite Betti number $b_j$ ($2\le
j\le I-2$).
