Abstract
Let be a connected paracompact Hausdorff space, acted on without fixed points by a cyclic group of prime order . For any continuous mapping let where is a generator of . Suppose for , and is a compact -orientable topological manifold of dimension . If the mapping has zero image, then the cohomological dimension over of the set is at least . Furthermore, if is a generalized manifold of dimension , and , then .Bibliography: 8 titles.
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