The behaviour of quasi-linear maps on C(K)-spaces.

Abstract In this paper we combine topological and functional analysis methods to prove that a non-locally trivial quasi-linear map defined on a C (K) must be nontrivial on a subspace isomorphic to c 0. We conclude the paper with a few examples showing that the result is optimal, and providing an application to the existence of nontrivial twisted sums of ℓ 1 and c 0. [ABSTRACT FROM AUTHOR]