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PreprintCC BY 4.0arXiv

Every subset of a topological Ramsey space is Ramsey in the Solovay model

Abstract

We provide a proof, free of ultrafilters and almost reduction, that every subset of a topological Ramsey space is Ramsey in the Solovay model.

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BibTeX
@misc{yung2026every,
  title = {{Every subset of a topological Ramsey space is Ramsey in the Solovay model}},
  author = {Clement Yung},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.11866},
  eprint = {2609.11866},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.11866},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Every subset of a topological Ramsey space is Ramsey in the Solovay model
AU  - Clement Yung
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.11866
UR  - https://arxiv.org/abs/2609.11866
AB  - We provide a proof, free of ultrafilters and almost reduction, that every subset of a topological Ramsey space is Ramsey in the Solovay model.
ER  -