I really want to like knot theory but the PL condition seems sort of ugly. I was hoping someone could give me a justification for secretly thinking about smooth knots as I read through a book like Rolfsen which works with PL knots. I'm really hoping for some grand unifying or almost-unifying theorem. Thank you for reading my question.
Edit: I think what I may be hoping for is some sort of "isomorphism of categories" if that makes any sense at all. Where the categories might be knots and functors are (continuous or smooth) ambient isotopies. Is this even a sensible formulation?