P-th powers in mod p cohomology of fibers

Details P-th powers in mod p cohomology of fibers P-th powers in mod p cohomology of fibers

2001-01-26

arxiv.org/abs/math/0101221v1

Mathematics

Algebraic Topology

5 pages

Scientific paper

Let $F\hookrightarrow E\twoheadrightarrow B$ be a fibration whose base space
$B$ is a finite simply-connected CW-complex of dimension $\leq p$ and whose
total space $E$ is a path-connected CW-complex of dimension $\leq p-1$. If
$\alpha\in H^{+}(F;\mathbb{F}_p)$ then $\alpha ^{p}=0$.

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