2021/07/26 by Elton Pasku, Pasku, Elton
Mathematics · #Advanced Topology and Set Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2107.12293
openalex publication_date 2021/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Whitehead asphericity problem, regarded as a problem of combinatorial group theory, asks whether any subpresentation of an aspherical group presentation is also aspherical. We give a positive answer to this question by proving that if \cP=(x, r) is an aspherical presentation of the trivial group, and r0 ∈ r a fixed relation, then \cP1=(x, r1) is aspherical where r1=r ∖ \r0\.