Some authors have recently introduced cohomological spaces related to a linear connection on a real differentiable manifold V_n. In this paper a cohomological space H_{\Gamma^2}^3 related to a second-order connection of type (0,1)on V_n and a sequence of cohomological spaces H_\Gamma^q q in \mathbb{N}+ related to a linear pseudoconnection \Gamma of V_n are introduced.Some essential properties of such spaces of cohomology are investigated an meaningfuld examples are provided.

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