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arXiv · 1412.8722

On the number of connected components of complements to arrangements of subtori

I. Shnurnikov
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Abstract

We consider the arrangements of subtori in a flat d - dimensional torus T. Let us consider an arrangement on n subtori of codimension one, let f be the number of connected components of the complement in T to the union of subtori. We found the set of all possible numbers f for given n and d and arbitrary arrangements of subtori.

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I. Shnurnikov. 2014-12-30. On the number of connected components of complements to arrangements of subtori. https://arxiv.org/abs/1412.8722

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