5 problems

Let $E:\mathbf{BornCoarse}\to\mathbf{C}$ be a coarse homology theory, let $X$ be a uniform bornological coarse space, and let $i_\alpha:M_\alpha\to M$ be the canonical inclusions a…

Detection conjecture. The nonzero element $t$ is detected by the sixth algebraic transfer $Tr_6(\mathbb F_2)$.

Let $L$ be an annular link, let $Kh_{\mathbb{A}_\mathfrak{q}}(L)$ denote its quantum annular homology, and let ${\mathcal X}^r_{\mathbb{A}_\mathfrak{q}}(L)$ be the associated spect…

Let $X$ be a path connected $CW$-complex with finitely generated homology. For $n>0$, let $f\in\pi_n^sX\simeq\pi_nQX$, and let … be the unstable Hurewicz homomorphism. Eccles conje…

Assume $p$ is sufficiently large with respect to $n$. Let $E$ be the height-$n$ theory in the source, let $I_{n-1}$ be the corresponding invariant ideal, and let $L_{n-1}$ and…