williams@kirk.DEC (John Williams 223-3402) (11/30/84)
There is one I can think of off hand. This is a case of reducing the dimensions and working from there. This will describe an infinite two dimensional surface split into two infinite surfaces by a finite line. Imagine an infinitely long cylinder with a line going laterally around the circumference to form a circle. Now translate the cylinder in a manner similar to how you would translate a sphere into a finite yet unbounded space. You will end up with a spacial manifold that is finite in two dimensions, yet infinite in the third. The plane will align with the two finite dimensions. It should be noted that this has not been observed in our known universe. Another example might be to have an infinitely long corridor with wrap around on the sides to form a two toroid universe. If the plane is properly aligned, it will wrap around onto itself. ----{ john williams }---- (DEC E-NET) KIRK::WILLIAMS (UUCP) {decvax, ucbvax, allegra}!decwrl!dec-rhea!dec-kirk!williams (ARPA) williams%kirk.DEC@decwrl.ARPA williams%kirk.DEC@Purdue-Merlin.ARPA