(Q2193452)

English

Euler class

degree r characteristic class defined for a real oriented vector bundle of rank r on a paracompact space

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Statements

characteristic class

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defining formula

\operatorname {e} (E)\smile \operatorname {e} (E)=\operatorname {c} _{\operatorname {rk} E}(E\otimes _{\mathbb {R} }\mathbb {C} )\in \operatorname {H} ^{2\operatorname {rk} E}(M;\mathbb {Z} )

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WikiProject Mathematics

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Identifiers

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Microsoft Academic ID

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ScienceDirect topic ID

mathematics/euler-class

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