Abstract
Suppose that F is a closed t-aspherical PL n-manifold with finite, sparsely abelian <TEX>${\pi}_1(F)$</TEX> and A is a closed aspherical PL m-manifold with hopfian, normally cohopfian <TEX>${\pi}_1(A)$</TEX>. If <TEX>$X(F){\neq}0{\neq}X(A)$</TEX>, then <TEX>$F{\times}A$</TEX> is a codimension-(t+1) PL fibrator.
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