What do we mean by orientability of a topological manifold? How do we orient two dimensional Euclidean space and why is Moebius band non-orientable? And it would be a great favour to me if you can tell me a good book that explains this idea. I read "Algebraic topology: An Introduction" by W. S. Massey but have a confusion.
Orientation of manifold in topological sense
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algebraic-topology
manifolds