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Assume that the Oseledec splitting $$T_xM=E_1(x) \\oplus\\cdots\\oplus E_s(x) \\oplus E_{s+1}(x) \\oplus\\cdots\\oplus E_l(x) $$ is dominated on the Oseledec basin $\\Gamma$. We give extensions of Katok's Horseshoes construction. 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