Abstract
Smooth acyclic affine surfaces will in this paper be referred to as homology planes. In a remarkable paper [R] Ramanujam exhibited an example of a smooth contractible affine surface R not homeomorphic to the complex plane. Quite recently Gurjar-Miyanishi have produced an infinite number of distinct smooth contractible affine surfaces, one of Kodaira dimension 2 and the rest of Kodaira dimension 1. These are referred to as GM and G(u) respectively. Here u ranges over a certain discrete set. (See section 6). See [GM] also. One of the main results of this paper is this theorem:
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