%0 Journal Article %A GarcĂ­a-Pacheco, F.J. %A Seoane SepĂșlveda, Juan Benigno %T The stereographic projection in banach spaces %D 2007 %@ 0035-7596 %U https://hdl.handle.net/20.500.14352/50491 %X We give a new and direct proof of the fact that, in any infinite dimensional Banach space, the unit sphere minus any one point is homeomorphic to a closed hyperplane. The proof involves L-structures and geometric concepts as, for instance, rotund, smooth and exposed points. %~