arXiv (All)
open access
A note on Finiteness and Boundedness in Cartesian Products of Discrete and Well-Ordered Sets, Application to Transition Systems
In this short note, we prove that any closed interval in a well-ordered and discrete space is finite. The coincidence between finiteness and boundedness can then be established for transition systems where the state space is well-ordered and discrete. Finally, this result is also proven when the sta
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
- Scott products and sobriety of countable meet-continuous dcpos#1186956
- Closure and the Limits of Forced Results: An information-theoretic criterion for when a forced-breakdown theorem transports to the system it is read as being about, with three consequences separated by carrier and one worked case#728668
- Fraïssé's conjecture, partial impredicativity and well-ordering principles, part II#1070071
- Economic Systems: Admissibility, Identity, and Structural Persistence#78176
- The Absolute Boundary of Algorithmic Systems: Frame Discontinuity, TODS, and the Limits of Rational Cognition#93283
Record · ID 1341649
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