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Orientation character : ウィキペディア英語版 | Orientation character In algebraic topology, a branch of mathematics, an ''orientation character'' on a group is a group homomorphism :. This notion is of particular significance in surgery theory. ==Motivation== Given a manifold ''M'', one takes (the fundamental group), and then sends an element of to if and only if the class it represents is orientation-reversing. This map is trivial if and only if ''M'' is orientable. The orientation character is an algebraic structure on the fundamental group of a manifold, which captures which loops are orientation reversing and which are orientation preserving.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Orientation character」の詳細全文を読む
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