This paper deals with the so-called PTI (presentational there inversion) construction in which the expletive there functions as the grammatical subject with a postverbal topic PP and a focus NP in sequence. The PTI construction displays similarities as well as differences with the LI (locative inversion) and ETI (existential there inversion) constructions. After examining the basic properties of these three constructions, the paper provides a constraint-based analysis of these constructions within the framework of HPSG (Head-driven Phrase Structure Grammar). The analysis, in which lexical realizations and constraints play crucial roles, could shed light on how the PTI construction is related to these two other constructions.