- #1

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Now my question: Say µ in H_n(R^n, R^n-0) is the generator corresponding to the canonical orientation [e_1,...,e_n] of R^n and µ' in H_n'(R^n', R^n'-0) is the generator corresponding to the canonical orientation [e_1,...,e_n'] of R^n'. How to see (or prove) that µ x µ' in H_{n+n'}(R^{n+n'},R^{n+n'}-0) is the generator corresponding to the canonical orientation [e_1,...,e_{n+n'}] of R^{n+n'} ??

Thx