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A ``topological coset algebra\" is derived and compared with the algebraic structure of the $N=2$ twisted models.\n  The cohomology on a free field Fock space as well as on the space of irreducible representation of the ``matter\" \\ala are extracted. We compare the results of the $A_1^{(N-1)}$ at level $k={p\\over q}-N$ with those of $(p,q)$ $W_N$ strings. 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