2025/11/04 by Vieri Benci, Benci, Vieri
Mathematics · #Advanced Topology and Set Theory #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical and Theoretical Analysis #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.2511.02639
openalex publication_date 2025/11/04 · openalex created_date 2025/11/06 · openalex updated_date 2026/07/28
We develop new aspects of the the of numerosity theory; more exactly, we emphasize its relation with the ordinal numbers, cardinal numbers, hyperreal numbers and surreal numbers. In particular, we combine the notion of numerosity with the idea of continuum and we get a definition of Euclidean line which includes all the sets of infinite numbers mentioned above.