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orientation of a vector bundle

generalization of an orientation of a vector space

en-GB/ˌɔːɹɪənˈteɪʃən əv ə ˈvɛktə ˈbʌndl/
en-US/ˌoʊɹiɛnˈteɪʃən ʌv ə ˈvɛktɚ ˈbʌndəl/

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mathematical structure