2012/08/27 by Nguyen Le Dang Thi, Thi, Nguyen Le Dang
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #K-Theory and Homology (math.KT) #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals #math.AG #math.AT #math.KT
paper · pdf · doi:10.48550/arxiv.1208.5415
Short note for a stabilized version of a conjecture on $\A^1$-connectedness. 4 pages, comments welcome!
openalex publication_date 2012/08/27 · arxiv created 2012/09/03 · arxiv updated 2012/09/04 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
We prove in this note a stabilized version of a conjecture on \A1-connectedness. For the stabilized version of this conjecture, we introduce the notion of stable \A1-connectedness, which is can be seen as the stabilization of \A1-connectedness. The notion of stable \A1-connectedness is in connection to the existence of zero cycles of degree one rather than rational points.