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PreprintarXiv licencearXiv

Strongly stable fields

Abstract

Let K be a field which is strongly stable, that is, stable and strongly dependent. Then K is finite or algebraically closed. This answers a question of Shelah.

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BibTeX
@misc{johnson2026strongly,
  title = {{Strongly stable fields}},
  author = {Will Johnson and Jinhe Ye},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.41430},
  eprint = {2610.41430},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.41430},
}
RIS
TY  - UNPB
TI  - Strongly stable fields
AU  - Will Johnson
AU  - Jinhe Ye
PY  - 2026
DA  - 2026/10/30
PB  - arXiv
DO  - 10.48550/arxiv.2610.41430
UR  - https://arxiv.org/abs/2610.41430
AB  - Let K be a field which is strongly stable, that is, stable and strongly dependent. Then K is finite or algebraically closed. This answers a question of Shelah.
ER  -