3 problems

Let ${\mathbb{T}}^n$ be the $n$-torus, let $f:{\mathbb{T}}^n\to{\mathbb{T}}^n$ be a map, and let $\tau$ be a free involution of ${\mathbb{T}}^n$. Nielsen–Borsuk–Ulam dichotomy conj…

Let $G$ be a group, and say that $G$ has the strong Borsuk–Ulam property when every relevant equivariant mapping problem satisfies the strong Borsuk–Ulam conclusion described in th…

Let $M$ be a connected $m$-dimensional closed PL manifold, with $m\geq n$, equipped with a free simplicial involution $A$. Suppose there are submanifolds … such that each $M_i$ is…