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Quadruples and cubes — arXiv:2609.11239

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.11239
License (as archived): CC0-1.0
Archived: 2026-10-16T06:16:16.492Z
SHA-256 of the archived text: e87ca9dc29cf4fd176f377e3e9c79a6b16bf6f20240dbae2b32fd5dfe24a008d
Stable URL of this page: https://metraipolis.com/documento/dc_aae445a6c417

How to cite

Quadruples and cubes — arXiv:2609.11239 — arXiv (en), https://arxiv.org/abs/2609.11239 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_aae445a6c417 (Metraipolis archive dc_aae445a6c417, sha256 e87ca9dc29cf4fd176f377e3e9c79a6b16bf6f20240dbae2b32fd5dfe24a008d)

BibTeX

@misc{dcaae445a6c417,
  title = {Quadruples and cubes — arXiv:2609.11239},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.11239},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_aae445a6c417; sha256 e87ca9dc29cf4fd176f377e3e9c79a6b16bf6f20240dbae2b32fd5dfe24a008d},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.11239. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We prove, in $\mathsf{ZFC}$, that the $\lambda$-terraced cube relation fails whenever $\lambda$ is an uncountable cardinal. The corresponding terraced relation for quadruples fails for every $\lambda$. If $\lambda$ is $\aleph_0$ then the pretinent terraced relation has consistency strength of at least one Woodin cardinal. We prove positive polarized relations at a successor and a double successor from wondrous ideals. We show, however, that there are no such ideals over two consecutive cardinals simultaneously.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-11 in math.CO).
Categorie arXiv: Logic (math.LO) ; Combinatorics (math.CO).
Pagina del lavoro: https://arxiv.org/abs/2609.11239 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T05:59:08.324Z dalla pagina https://arxiv.org/catchup/math.CO/2026-09-11?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).