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arXiv · 1805.10957

The unavoidable arrangements of pseudocircles

Carolina Medina·Jorge Ramírez-Alfonsín·Gelasio Salazar
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Abstract

It is known that cyclic arrangements are the only {\em unavoidable} simple arrangements of pseudolines: for each fixed $m\ge 1$, every sufficiently large simple arrangement of pseudolines has a cyclic subarrangement of size $m$. In the same spirit, we show that there are three unavoidable arrangements of pseudocircles.

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Carolina Medina, Jorge Ramírez-Alfonsín, Gelasio Salazar. 2018-08-18. The unavoidable arrangements of pseudocircles. https://arxiv.org/abs/1805.10957

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