I would say that my top has stripes that go both vertically and horizontally. My other top is polka-dotted, (or dotted, or spotted) and my woolly one, now that it's old, is falling apart!
For the woolly top you could otherwise say that it keeps losing, or shedding, bits of wool. I have some of the oldest pullovers in the universe and they tend to fray at the elbows and the ends of the sleeves and gradually come apart until there seems to be more hole than wool...
Sorry, I think I lost the thread there.
Student or Learner