Explanation of non-orientability of the Möbius band I have read about the orientation of manifold in the Tu's book. The book is very readable but the first example about non-orientable manifold is seemly hard to under...--prophetes.ai

Explanation of non-orientability of the Möbius band I have read about the orientation of manifold in the Tu's book. The book is very readable but the first example about non-orientable manifold is seemly hard to understand. On page 208, he gave an argument that Möbius band is not orientable. Can anybody help me by some instructions? Thanks.

Try reading some other discussions (< < and then return to the book you are reading. Making a physical model is also a very good idea. Or just look at a cool picture:

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