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We show that if we assume Martin's Axiom, then there exists a nontrivialtwisted sum of c_0 and C(K), for every compact space K with finite height andweight at least continuum. This result settles the problem of existence ofnontrivial twisted sums of c_0 and C(K), for finite height spaces K, underMartin's Axiom.

Nontrivial twisted sums for finite height spaces under Martin's Axiom