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We use Chu spaces and an algebra of them to give a denotational semantics of a subset of BPEL. The emphasis is on the scope-based fault handling mechanism. We propose BPEL-F as an abstraction of the subset of BPEL including typical control flow and fault handling. Chu spaces form the main semantic domain. We study the influence of fault handling to the algebraic operators of Chu spaces. and present modified versions of the sequence and concurrence operators. The trigger operator is designed to model the scope-based fault handling. We present valuation functions mapping BPEL-F constructs to Chu spaces.