TY - JOUR AU - GarcĂ­a-Pacheco, F.J. AU - Seoane SepĂșlveda, Juan Benigno PY - 2007 DO - 10.1216/rmjm/1187453103 SN - 0035-7596 UR - https://hdl.handle.net/20.500.14352/50491 T2 - Rocky Mountain Journal of Mathematics 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,... LA - eng M2 - 1167 PB - Rocky Mountain Mathematics Consortium KW - Unit sphere KW - Closed hyperplane KW - Stereographic projection KW - L2-summand vector TI - The stereographic projection in banach spaces TY - journal article VL - 37 ER -