Combinatorial manifolds are discrete analogues of smooth manifolds, constructed from simplicial complexes or well‐behaved polyhedral pieces that satisfy local topological criteria. These structures ...

This is a preview. Log in through your library . Abstract The Lusternik-Schnirelmann category and topological complexity are important invariants of manifolds (and more generally, topological spaces).

We give a necessary and sufficient condition for a compact set in the interior of a topological 4-manifold to be cellular. This generalizes D. R. McMillan's cellularity criterion for higher dimensions ...

On the left, the schematic illustration depicts the gluing rules of the Brillouin manifold, with a half-twist operation connecting the opposing faces. On the right, the BZ is divided into 64 blocks by ...