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

2018/08/01 by Correa, Claudia
#46E15 #54D40 #54G12 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1808.00205

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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