2021/05/11 by Jingwen Gao, Gao, Jingwen, Xiugui Liu +1
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2105.04751
openalex publication_date 2021/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we show that for a simply connected CW complex Y with H*(Y;ℚ) of finite dimension, if H*(Y;ℚ) is concentrated in degrees ≤ 3, then the rationalization Y_ℚ is formal. As an application, we show that the spatial realizations of simply connected Sullivan algebras with rational homology concentrated in degrees ≤ 3 are formal.