Cat crate?

I love my cats, but they are quite strange. Dot absolutely loves "her" dog and she will just sit in his crate while he is outside. I'm pretty sure she is just claiming her space and since she thinks he is her dog, she's marking her territory. She likes to give him kisses when he comes out of his crate and chases him around the house, in a fun way, he doesn't mind much. Tonight, I caught her sitting in his crate, staring into space...