A damper for a bicycle having a primary unit and a remote unit that, in some arrangements, is substantially entirely outside of the primary 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, in some arrangements, 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.