A damper for a bicycle having, in one arrangement, a primary unit and a remote unit. The primary unit includes a damper tube, a spring chamber, and a piston rod that supports a main piston. The main piston is movable within the damper chamber of the primary unit. The main piston and the damper tube at least partially define a compression chamber. The remote unit comprises a remote fluid chamber and an inertial valve within the remote unit. The inertial valve is preferably responsive to terrain-induced forces and preferably not responsive to rider-induced forces when the shock absorber is assembled to the bicycle. A fluid flow control arrangement within the remote unit utilizes compression fluid flow to delay closing of the inertial valve after acceleration forces acting on the inertial valve diminish. In some arrangements, the inertial valve and fluid flow control arrangement may reside in the primary unit.