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Steenrod problem : ウィキペディア英語版 | Steenrod problem In mathematics, and particularly homology theory, Steenrod's Problem (named after mathematician Norman Steenrod) is a problem concerning the realisation of homology classes by singular manifolds. ==Formulation== Let ''M'' be a closed, oriented manifold, and let be its orientation. Here denotes the ''n''-dimensional homology group of ''M''. Any continuous map defines an induced homomorphism A homology class of H''n''(''X'') is called realisable if it is of the form ƒ * () where The Steenrod problem is concerned with describing the realisable homology classes of H''n''(''X'').
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「Steenrod problem」の詳細全文を読む
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