# [Finite generation for the K(n)-local sphere](Finite-generation-for-the-Kn-local-sphere-September-24-2026.pdf)

**Author:** OpenAI

**Date:** September 24, 2026

## Citation

```bibtex
@misc{OAI:Finite-generation-for-the-Kn-local-sphere-September-24-2026,
  author = {{OpenAI}},
  title = {{Finite generation for the $K(n)$-local sphere}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Finite-generation-for-the-Kn-local-sphere-September-24-2026/Finite-generation-for-the-Kn-local-sphere-September-24-2026.pdf}{OAI:Finite-generation-for-the-Kn-local-sphere-September-24-2026}},
  year = {2026}
}
```