Abstract
Let be a connected paracompact Hausdorff space, freely acted on by a cyclic group of prime order with generator . Let be a continuous mapping of into a topological manifold of dimension . Put . If is orientable over , for , and has zero image, then, for weakly locally contractible, . If, in addition, is an -dimensional topological manifold, then . For , suppose and , while is a connected compact closed manifold of dimension with a free involution . Let , and suppose is a monomorphism. Then .Bibliography: 5 titles.
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