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In this paper we show that the nontrivial fundamental group $\pi_1 SO(3)={\Bbb Z}_2$ for the group SO(3) of global proper rotations of afour-dimensional Euclidian space (when a spin structure is introducedpreliminarily in that space) implies always fermions as global SO(3) vortices,while bosons can be reduced to trivial lines (contracted into a point) in theSO(3) group space.

Fermions with spin 1/2 as global SO(3) vortices