Narrowly distributed polystyrene-b-poly(N-isopropylacrylamide)-b-polystyrene (PS-b-PNIPAM-b-PS) triblock copolymer with trithiocarbonate group in the middle of PNIPAM block was synthesized by using reversible addition fragmentation chain transfer (RAFT) polymerization. Such copolymer chains form a micelle-like aggregate with PNIPAM interlocking rings and associating PS blocks as the core and PNIPAM rings as the corona. The hydrolysis of the trithiocarbonate group leads the rings in the corona to be cut into open linear coils. Using laser light scattering, we have investigated the temperature-induced collapse of the aggregates with the rings and coils in the corona. Our results reveal that the former shrink much less than the latter due to the topological effect of PNIPAM blocks in the corona. On the other hand, the aggregates with long coils exhibit a sharper collapse transition than those with shorter coils.