RT Journal Article T1 The stereographic projection in banach spaces A1 GarcĂ­a-Pacheco, F.J. A1 Seoane SepĂșlveda, Juan Benigno AB 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. PB Rocky Mountain Mathematics Consortium SN 0035-7596 YR 2007 FD 2007 LK https://hdl.handle.net/20.500.14352/50491 UL https://hdl.handle.net/20.500.14352/50491 LA eng DS Docta Complutense RD 10 may 2025