On the product of a contractible topological manifold and a cell
Morris W. Hirsch · Bulletin of the American Mathematical Society · 1962
Introduction.Our object is to prove the following theorem:THEOREM.Let M be a contractible manifold of dimension m. (A) If M has empty boundary, then MXR p ^Rm+P for some p. (B) If M is compact, then MXD q ^Dm+q for some q.