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arxiv: 1604.08150 · v2 · pith:IN5ZSRPYnew · submitted 2016-04-27 · 🧮 math.DS

On the rank of a product of manifolds

classification 🧮 math.DS
keywords rankmanifoldsclosedexamplegivesgreaternoteproduct
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This note gives an example of closed smooth manifolds $M$ and $N$ for which the rank of $M\times N$ is strictly greater than $rank M + rank N$.

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