2013/05/06 by Satya Deo, Deo, Satya · 1 citation
Computer Science · Mathematics · #54G15 #55Q15 #57Q15 #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #Cohomology #Collineation #Combinatorics #Complex projective space #Computational Geometry and Mesh Generation #Computer science #Euclidean geometry #FOS: Mathematics #Geometric and Algebraic Topology #Geometry #Mathematics #Plane (geometry) #Projective plane #Projective space #Projective test #Pure mathematics #Quaternionic projective space #Real projective plane #Real projective space #Space (punctuation) #math.AT #msc:54G15 #msc:55Q15 #msc:57Q15
paper · pdf · doi:10.48550/arxiv.1305.1165
published in arXiv (Cornell University) (Cornell University) · 8 pages
arxiv created 2013/05/06 · openalex publication_date 2013/05/06 · arxiv updated 2013/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we prove, that none of the three combinatorial 8- manifolds on 15 vertices constructed by Brehm and Kuhnel, each of which is a cohomology quaternionic projective plane, can be combinatorially embedded in the Euclidean 12-space, though they have tight polyhedral embeddings in Euclidean 14-space. This extends a similar method already known for the nonembeddings of real and complex projective planes.