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A [[Manifold|manifold]] that does not admit an [[Orientation|orientation]]. Such are, for example, the [[Möbius strip|Möbius strip]], the [[Klein surface|Klein surface]] and the projective spaces $\mathbf{RP}^n$ of even dimension.

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How to Cite This Entry:
Non-orientable manifold. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Non-orientable_manifold&oldid=31567

This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article

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