4 problems

Let $p\geq 5$ and $s\leq 4$. Suppose … with the stated additional vanishing assumptions. If $d_2(x)=a_0x'\in Ext_A^{s+2,tq+1}(\mathbb Z_p,\mathbb Z_p)$, where…

Let $p\geq 7$, $n\geq 3$, and $3\leq s<p$. Let $\widetilde{\gamma}_s$ be the class used in the preceding results, and let … Conjecture 9.6.8. The products…

Let $p\geq 7$ and $n\geq 3$. Let $k_n\in Ext_A^{2,2p^{n+1}q+p^nq}(\mathbb Z_p,\mathbb Z_p)$ and $l'_n\in Ext_A^{3,2p^{n+1}q+p^nq}(\mathbb Z_p,\mathbb Z_p)$. Conjecture 9.5.5. There…

Let $b=b(k)$ be the number of ones in the binary expansion of $k$, and assume $n+2\geq 2^{b(k)}$. Let $s=n-2b(k)+k+3$. Consider a skew-framed immersion … of a manifold $M^{b(k)-1}$…