Fixed Points for Multi-valued Functions on Snake-like Continua

fibre is the re-dimensional complex projective space (complex projective co-tangent bundle). This bundle of complex dimension 2re + l is our M. Considering the fibre of T(V) as the (2w+2)-dimensional real vector space, we take as P the co-tangent sphere bundle over V (i.e., the fibre of P is a sphere in the fibre of T(V)). T(V) — V is the principal fibre bundle associated with a line bundle L over M. The definition of the complex contact structure on M is similar to the one in the first example. The classical real contact structure on the co-tangent sphere bundle P is the one derived from the complex contact structure on the complex projective co-tangent bundle Mas described in the proof of (3).