The book: - contains an extensive introduction setting out the research questions addressed and setting the contributions in an overall theoretical context, - has a distinct comparative slant, - brings together work from a range of theoretical perspectives, while maintaining a unity of purpose, - could serve as the basis for a graduate course on peripheral positions, - contains papers addressing: = the question of the fine-grainedness of syntactic representations, = the relevance of syntactic edges to locality and semantic interpretation, = the nature of the dependencies connecting peripheral elements to the syntactic core. Audience: Academics and graduate students interested in syntax and its interfaces with semantics and prosody, acquisition of syntax, cross-linguistic comparison.