An Index Theory for Z-actions
نویسنده
چکیده
This paper concerns an index theory for Z-actions induced by a homeomorphism of a compact space. We give a definition of a genus for uniform spaces and prove that the genus for compact spaces is an index. To this end we show a Z-version of the Borsuk-Ulam theorem and the existence of a continuous equivariant extension for these Z-actions.
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