Orientable surfaces in four-space
Orientable surfaces in four-space
THEOREM 1. Let M be a locally flat, polyhedral, closed orientable surface (not necessarily connected) in Euclidean four-space, R. Then there is an orientable polyhedral three-manifold, M, in R*, whose boundary is M. Local flatness means that for each vertex v of M, the link of D on M (a …