Abstract:<p>Let us consider the prime field of two elements, $\mathbb F_2\equiv \mathbb Z_2.$ The classical "hit problem" in Algebraic Topology, which is widely recognized as an important and intriguing open problem, asks for a minimal set of generators for the polynomial algebra, $\mathcal P_m:=\mathbb F_2[x_1, x_2, \ldots, x_m]$, on $m$ variables $x_1, \ldots, x_m$, each of which has degree one, regarded as a connected unstable $\mathscr A$-module. The algebra $\mathcal P_m$ is the cohomology with $\mathbb F_2… Show more
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