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PreprintarXiv licencearXiv

Measures on partial orders

  • Andrew Snowden
Open at sourcePDFDOICite

Abstract

We determine the measures (in the sense of Harman--Snowden) on the Fraïssé class of partially ordered sets: the space of measures is a union of a plane, eight lines, and 15 isolated points. This is the first case where the space is not equidimensional, and the first primitive case in which it has dimension at least two. ChatGPT was used to obtain many arguments. The writing was done entirely by the author.

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Cite

BibTeXRIS
BibTeX
@misc{snowden2026measures,
  title = {{Measures on partial orders}},
  author = {Andrew Snowden},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02021},
  eprint = {2609.02021},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02021},
}
RIS
TY  - UNPB
TI  - Measures on partial orders
AU  - Andrew Snowden
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.02021
UR  - https://arxiv.org/abs/2609.02021
AB  - We determine the measures (in the sense of Harman--Snowden) on the Fraïssé class of partially ordered sets: the space of measures is a union of a plane, eight lines, and 15 isolated points. This is the first case where the space is not equidimensional, and the first primitive case in which it has dimension at least two. ChatGPT was used to obtain many arguments. The writing was done entirely by the author.
ER  -