Having the H-space structure is not a generic property

2001/06/29 by Jianzhong Pan, Pan, Jianzhong
Mathematics · #55P45 #55P60 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55P45 #msc:55P60

paper · pdf · doi:10.48550/arxiv.math/0106257

arxiv created 2001/06/29 · openalex publication_date 2001/06/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we answer in negative a question posed by McGibbon about the generic property of H-space structure. In fact we verify the conjecture of Roitberg. Incidentally, the same example also answers in negative the open problem 10 in McGibbon.

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