2 problems

Let $B$ be a base space supporting a family of endomorphisms $f\colon E\to E$ over $B$. Write $R_B(f)$ and $R_B(f^2)$ for the corresponding fiberwise Reidemeister traces, and let…

Let $B$ be a finite-dimensional cell complex, and let $E\to B$ be a smooth closed manifold bundle with fiber $M$ of dimension at least $3+\dim B$. Let $f\colon E\to E$ be a family…