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

Published 1 Aug 2018 in math.FA | (1808.00205v3)

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

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