An $S^1$ version of the Borsuk-Ulam Theorem is proved for a situation where Fix $S^1$ may be nontrivial. The proof is accomplished with the aid of a new relative ...

We live on a spherical planet (flat-earth theories notwithstanding). You might think that doesn't really have consequences for the weather, but here's an interesting fact: Right now, at this very ...

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 the genus for compact spaces is an index.