Automotive tire - Those are a few of the concepts and objects studied by topology: now we'll look at a theorem. If you look at the way the hairs lie on a dog, you will find that they have a 'parting' down the dog's back, and another along the stomach. Now topologically a dog is a sphere (assuming it keeps its mouth shut and neglecting internal organs) because all we have to do is shrink its legs and fatten it up a bit (Figure 90). Figure 90 One might wonder whetheritis possible to combthe hairs