10 problems

Quotient conjecture. This composition is an isomorphism.

Let $X$ be a finite-dimensional $p$-normed space, and write $\delta_X$ for the parameter appearing in the theorem. The source proves that $X$ has a quotient $E$ satisfying … and ……

Let $A$ be the subset appearing in the FMQ construction, let $\mathcal{D}_Y$ be its specified family of data, and set … Here, $k_2$-Hausdorff means that the kernel of every continu…

Quotient-manifold criterion. $H$ is a Banach–Lie subgroup if and only if $G/H$ carries the structure of a Banach manifold for which $q$ has a surjective differential at each point…

Let $G$ be a Lie group and $H$ a subgroup, and consider the quotient $G/H$. When $H$ is closed, cotangent bundle reduction identifies the reduced space $(T^*G)/\!/H$ with…

Topology-coincidence conjecture.

Uniqueness conjecture. If the reconstruction problem has more than one solution up to homeomorphism, then trivial clans rooted at $k$-sets for some $k<n-1$ must exist.

Let $X$ be an infinite connected normal Hausdorff space. Say that $X$ collapses to an arc if it has a quotient space homeomorphic to the unit interval $[0,1]$. Arc quotient conject…

Quotient-orbifold presentation conjecture. Every orbifold can be presented as a quotient orbifold.

Hirzebruch formula conjecture. The signature satisfies