|
In mathematics, an induced homomorphism is a structure-preserving map between a pair of objects that is derived in a canonical way from another map between another pair of objects. ==In topology== A particularly important case arises in algebraic topology, where any continuous function between two pointed topological spaces induces a group homomorphism between the fundamental groups of the two spaces. (See section III.5.4, p. 201, in H. Schubert.) 〔 〕 Likewise, the same continuous map induces a group homomorphism between the respective homotopy groups, the respective homology groups (IV.1.3, pp. 240–241) 〔 and a homomorphism going in the opposite direction between the corresponding cohomology groups (IV.4.2-3, pp. 298–299).〔 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「induced homomorphism」の詳細全文を読む スポンサード リンク
|