Reconstructing $d$-manifold subcomplexes of cubes from their $(\lfloor d/2\rfloor +1)$-skeletons

Rowan Rowlands

In 1984, Dancis proved that any $d$-dimensional simplicial manifold is determined by its $(\lfloor d/2\rfloor +1)$-skeleton. This paper adapts his proof to the setting of cubical…