2022/06/26 by T. Tâm Nguyễn Phan, Phan, T. Tam Nguyen
Computer Science · Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2206.12968
openalex publication_date 2022/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We observe that many of the 2-complexes constructed by Freedman-Krushkal-Teichner in their paper on the incompleteness of the van Kampen embedding obstruction can actually be PL immersed in ℝ4 in such a way that the images of the interiors of distinct cells are disjoint. In other words, they PL almost-embed in ℝ4 with singularities occurring only as self intersections of some 2-cells. This note is written in (not necessarily modern) German.