9 problems

Integral congruence conjecture. There is an integer matrix $Y$ such that

Massey–Rolfsen conjecture. Theorem still holds if one component of the link $L$ is not embedded (but mapped into $\mathbb{R}^4$ disjointly from the other components).

Relative Boone--Higman conjecture. Let $\Gamma$ be a finitely generated group with solvable word problem. Then $\Gamma$ sharply embeds in a finitely presented relatively simple gro…

Embeddability conjecture. If $d=2^k-1$ for some $k\geq 1$, then the $d$-skeleton of $K$ is embeddable into $\mathbb{R}^{2d}$.

Let $\mathcal{S}$ be the set of sentences, let $\mathscr{L}$ be a causal language model, and let … map each sentence to its output-probability distribution, where…

Let $H_1$ and $H_2$ be 3-dimensional genus-$g$ handlebodies embedded in $S^4$, for an integer $g\geq 0$, with common boundary … They are compressing curve equivalent if there exist…

For integers $k,d$, let $\operatorname{GEM}_{k \rightarrow d}$ denote the decision problem of determining whether a given $k$-complex has a geometric embedding in $\mathbb{R}^d$. S…

Let $M$ be a smooth 3-manifold smoothly embedded in $\mathbb{C}^3$, and let $p\in M$ be an isolated complex tangent. The degeneracy conjecture asserts that the Bishop invariant at…

Let $P$ be a compact $n$-polyhedron. A quasi-embedding of $P$ in a product of $n$ dendrites means the approximation notion used in the source, namely the existence of arbitrarily f…