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arXiv · 1405.5194

Helly's theorem for systolic complexes

Krzysztof Święcicki
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Abstract

We prove the analogue of Helly's theorem for systolic complexes. Namely, we show that 7-systolic complexes have Helly dimension less or equal to 1, whereas 6-systolic complexes have Helly dimension bounded from the above by 2.

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Krzysztof Święcicki. 2014-05-20. Helly's theorem for systolic complexes. https://arxiv.org/abs/1405.5194

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