1999/07/20 by Jianzhong Pan, Pan Jianzhong, Jianzhong, Pan +3
Computer Science · Mathematics · #55P10 #55P60 #55P62 #55R10 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AT #msc:55P10 #msc:55P60 #msc:55P62 #msc:55R10
paper · pdf · doi:10.48550/arxiv.math/9907122
21 pages, Latex2e file and pb-diagram package
arxiv created 1999/07/20 · openalex publication_date 1999/07/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note, we attack a question posed ten years ago by Tsukiyama about the injectivity of the so- called Forgetable map. We show that we can insert the Forgetable map in an exact sequence and that the problem can be reduced to the computation of the sequence which turns out unexpectedly to be related to the phantom map problem and the famous Halperin conjecture in rational homotopy theory.