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arxiv: 0910.0040 · v1 · submitted 2009-09-30 · 🧮 math.CO

Extremal Betti numbers of Rips complexes

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keywords betticomplexesnumbersboundsestablishedexamplesextremalgiven
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Upper bounds on the topological Betti numbers of Vietoris-Rips complexes are established, and examples of such complexes with high Betti numbers are given.

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