Small Covers over a Product Space

A small cover is a closed manifold $M^{n}$ with a locally standard$(Bbb{Z}_{2})^{n}$-action such that its orbit space is a simpleconvex polytope $P^{n}$. Let $Delta^{n}$ denote an $n$-simplex and$P(m)$ an $m$-gon. This paper gives formulas for calculating thenumber of D-J equivalent classes and equivariant homeomorphismclasses of orientable small covers over the product space$Delta^{n_1}times Delta^{n_2} times P(m)$, where $n_1$ is odd.