Is it true, that if [itex]A[/itex] and [itex]B[/itex] are oriented manifolds with boundary, having dimensions [itex]n[/itex] and [itex]m[/itex] respectivelly, then the boundary of [itex]A\times B[/itex] is(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\partial(A\times B)=\partial A\times B + (-1)^n A\times \partial B[/itex]?

If not, then what can we say about the boundary of product manifolds? Could someone recommend a textbook or a lecture notes that discusses this?

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# Boundary of a product manifold

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