2006/01/25 by Wojciech Dorabiała, Mark Johnson, Dorabiala, Wojciech +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Sphingolipid Metabolism and Signaling
paper · pdf · doi:10.48550/arxiv.math/0601620
openalex publication_date 2006/01/25 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
We verify the Becker-Shultz axioms characterizing the Becker-Gottlieb transfer τ for the composite of the algebraic K-theory transfer of any perfect fibration followed by the trace map. As a consequence, for any compact ANR fibration (those considered by Becker-Shultz), τ is homotopy equivalent to the composite of the algebraic K-theory transfer followed by the trace map. Furthermore, if these same axioms (including strong additivity) could be shown to extend to characterizing τ for arbitrary perfect fibrations, our homotopy equivalence extends to the case of arbitrary perfect fibrations as well.