Simploidal sets: A data structure for handling simploidal Bézier spaces

Construction operations are also defined, extending all those of simplicial and cubical sets: cone, Cartesian product, degeneracy, and identification. In their basic version, the first three operations allow to create any simploid, and the last one, to create any assembly of simploids. It is then possible to simultaneously handle through a single formalism any assembly of simplices, cubes, and other simploids, with a very low additional cost, regarding space (data structure), time (construction or computation operations) or software development.