Nontrivial twisted sums for finite height spaces under Martin's Axiom
Abstract
We show that if we assume Martin's Axiom, then there exists a nontrivial twisted sum of c0 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 c0 and C(K), for finite height spaces K, under Martin's Axiom.
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