On embedding all $n$-manifolds into a single $(n+1)$-manifold

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94980For each composite number $n\ne 2^k$, there does not exist a single connected closed $(n+1)$-manifold such that any smooth, simply-connected, closed $n$-manifold can be topologically flat embedded into it. There is a single connected closed 5-manifold $W$ such that any simply-connected, 4-manifold $M$ can be topologically flat embedded into $W$ if $M$ is either closed and indefinite, or compact and with non-empty boundary.21 pages, 3 figuresGeometric TopologyAlgebraic Topology57M10, 57M25, 57N30On embedding all $n$-manifolds into a single $(n+1)$-manifoldtext