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Relative Dimension of Posets — arXiv:2609.05166

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.05166
License (as archived): CC0-1.0
Archived: 2026-10-16T23:21:13.221Z
SHA-256 of the archived text: 4c0bc906316e1bfc34364f38e4f7e7c33acb0eaf9a8d47986f7e0d3ccfa1088e
Stable URL of this page: https://metraipolis.com/documento/dc_c17852309dfd

How to cite

Relative Dimension of Posets — arXiv:2609.05166 — arXiv (en), https://arxiv.org/abs/2609.05166 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_c17852309dfd (Metraipolis archive dc_c17852309dfd, sha256 4c0bc906316e1bfc34364f38e4f7e7c33acb0eaf9a8d47986f7e0d3ccfa1088e)

BibTeX

@misc{dcc17852309dfd,
  title = {Relative Dimension of Posets — arXiv:2609.05166},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.05166},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_c17852309dfd; sha256 4c0bc906316e1bfc34364f38e4f7e7c33acb0eaf9a8d47986f7e0d3ccfa1088e},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.05166. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Dimension of partially ordered sets (posets for short) can be seen as a measure of how much space is needed to store posets. Refining the definition of dimension, or actually the local dimension, in this respect we obtain the notion of relative dimension. We discuss properties of relative dimension and we give bounds for relative dimension of some well-known families of posets.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-07 in math.CO).
Categorie arXiv: Combinatorics (math.CO).
Pagina del lavoro: https://arxiv.org/abs/2609.05166 — 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 2026-10-16T23:03:13.263Z dalla pagina https://arxiv.org/catchup/math.CO/2026-09-07?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).