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PreprintCC BY 4.0arXiv

Compactness via Consistency Properties

Abstract

We will use consistency properties to characterize strongly compact cardinals, first showing an adequate Model Existence Theorem for larger fragments.

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BibTeX
@misc{valenzuela2026compactness,
  title = {{Compactness via Consistency Properties}},
  author = {Edgar Valenzuela},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.26509},
  eprint = {2609.26509},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.26509},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Compactness via Consistency Properties
AU  - Edgar Valenzuela
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2609.26509
UR  - https://arxiv.org/abs/2609.26509
AB  - We will use consistency properties to characterize strongly compact cardinals, first showing an adequate Model Existence Theorem for larger fragments.
ER  -