Chester and Jersey are mortal enemies. Not just because they are cat and dog, but because that is how Chester staged their relationship. Unlike Mooch who just ignored her, or Brad who actively sought to play with her, Chester decided that Jersey was a threat and he was going to quash that threat immediately. So he greeted her with a swift paw to the head and the stage was set.
Jersey is still scared of Chester despite the fact that she outweighs him by at least double. If he lunges at her, she runs. If he swipes at her she whimpers. Although she is getting a bit braver in her attempts to chase him when he isn't looking, she still knows who is boss.
Usually they are nowhere near each other, but occasionally you will find them nearby with Chester keeping a watchful eye on Jersey.
They just happened to be on the same chair in my office above. I am not even sure Chester realized it at that moment. They pretend to ignore each other (or watch TV- I guess Jersey rules the remote):
You can see, though, that Chester has his paw ready to swipe. And then he looks at Jersey like "how DARE she":
Meanwhile, Jersey doesn't seem to even notice but just goes right to sleep:
She also takes some time out to ham it up for the photographer:
How could Chester swipe at that face?