I nearly ended up in a police report today. Coasting toward a red light, I moved over toward the kerb as I heard sirens behind me. Suddenly I hear the roar of an engine, and think "emergency vehicles slow down at junctions, not speed up". The the squeal of brakes as a car pulls across the lane, onto the pavement to my left, back onto the road at the junction, turns left. It was not a police car, but a car the police were chasing. Gave me quite a fright.
Once I started breathing again I looked behind me for the police. They had slowed down, and at least one car looked like it was going to turn left down a side street. Between the layout of the streets in the area and their distance from the junction where the perp turned, I seriously doubt they caught up with him.