We study phase transitions induced by topological defects in compact A
belian gauge theories of open p-branes in (d+1) space-time dimensions.
Starting from a massive antisymmetric tensor theory for the open p-br
anes we show how the condensation of topological defects can lead to a
decoupled phase with a massless tensor coupled to closed (p-1)-branes
and a massive tensor coupled to open (p+1)-branes. We also consider t
he case, relevant in string theory, in which the boundaries of the p-b
ranes are constrained to live on a Dirichlet n-brane.