Stresses and liftings of cell-complexes (Q1293670)

This paper introduces a general notion of stress on cell-complexes and presents results connecting stress and liftings of \(d\)-dimensional cell complexes. New sufficient conditions for the existence of a sharp lifting for a flat piecewise linear realization of a manifold are given. The author presents two algorithms that determine whether a piecewise linear realization of a d-manifold in \(R^d\) admits a lifting to \(R^{d+1}\) which satisfies given constraints.