On scattered posets with finite dimension
Maurice Pouzet, Hamza Si Kaddour, Nejib Zaguia
TL;DR
This paper explores a characterization of certain partially ordered sets (posets) that can be embedded in a product of finitely many scattered chains, using forbidden configurations as a key tool.
Contribution
It introduces a new characterization method for posets embeddable in products of scattered chains via forbidden configurations.
Findings
Identifies specific forbidden configurations for such posets.
Provides a framework for understanding the structure of these posets.
Advances the theory of scattered chains and their embeddings.
Abstract
We discuss a possible characterization, by means of forbidden configurations, of posets which are embeddable in a product of finitely many scattered chains.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Logic · Rough Sets and Fuzzy Logic · Fuzzy and Soft Set Theory