arXiv:1412.8722 Abstract | arXiv Analytics

arXiv:1412.8722 [math.AT]Abstract References Reviews Resources

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

Published 2014-12-30Version 1

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.

Categories: math.AT, math.CO

Subjects: 52C35

Keywords: connected components, complement, dimensional torus, arbitrary arrangements

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