arXiv (All)
open access
Partition regularity of infinite parallelepiped sets
A proper infinite parallelepiped (IP) set in a semigroup is an infinite set consisting of a sequence $\myseq{a}$ and its finite sums, or a superset of such a set. Hindman's theorem asserts that the proper IP sets of natural numbers are partition regular: for each finite coloring of a proper IP set
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- $2$-large sets are sets of nil-Bohr recurrence#1328195
- Set existence principles and closure conditions: unravelling the standard view of reverse mathematics#725169
- Every Regular Language Has a Bipartite Cactus Automaton#1248997
- Cut-off points for the rational believer#88074
- Benardete paradoxes, patchwork principles, and the infinite past#80477
Record · ID 1326059
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive