2024/09/30 by Boaz Tsaban, Tsaban, Boaz
Computer Science · #AI-based Problem Solving and Planning #Advanced Database Systems and Queries #Combinatorics (math.CO) #Constraint Satisfaction and Optimization #FOS: Mathematics #General Topology (math.GN) #Logic (math.LO)
paper · pdf · doi:10.48550/arxiv.2409.20518
openalex publication_date 2024/09/30 · openalex created_date 2024/10/28 · openalex updated_date 2026/07/28
We develop a method that we call omission of intervals, for establishing topological properties of subsets of the real line based on their combinatorial structure. Using this method, we obtain conceptual proofs of the fundamental theorems in this realm, and new results that were hitherto inaccessible.