2014/03/08 by Jean‐Paul Brasselet, Brasselet, Jean-Paul, Alice Kimie Miwa Libardi +5
Mathematics · #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Primary 57Q20 #Secondary 55N33
paper · pdf · doi:10.48550/arxiv.1403.1983
openalex publication_date 2014/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
In this article we study the bordism groups of normally nonsingular maps f: X → Y defined on pseudomanifolds X and Y. To characterize the bordism of such maps, inspired by the formula given by Stong, we give a general definition of Stiefel-Whitney numbers defined on X and Y using the Wu classes defined by Goresky and Pardon and we show that in several cases the cobordism class of a normally nonsingular map f:X → Y guarantees that these numbers are zero.