Erratum: Limit theorems for Betti numbers of random simplicial complexes
Matthew Kahle, Elizabeth Meckes
TL;DR
This paper provides corrections to the proofs of key theorems related to the asymptotic behavior of Betti numbers in random simplicial complexes, ensuring the mathematical validity of the original results.
Contribution
It rectifies the proof errors in the original work on limit theorems for Betti numbers, strengthening the theoretical foundation.
Findings
Corrected proofs of main theorems established the validity of previous results.
Confirmed the asymptotic properties of Betti numbers in random simplicial complexes.
Ensured the mathematical rigor of the original limit theorems.
Abstract
We correct the proofs of the main theorems in our paper "Limit theorems for Betti numbers of random simplicial complexes".
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