1962/01/01 by Hyman Bass, Stephen H. Schanuel · 2 citations
Mathematics · #Algebraic structures and combinatorial models #Rings, Modules, and Algebras #Advanced Topics in Algebra #Mathematics #Homotopy #Projective test #Pure mathematics #Cofibration #Homotopy category #Homotopy group #Regular homotopy #Algebra over a field
paper · pdf · doi:10.1090/s0002-9904-1962-10826-x
openalex publication_date 1962/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/07
has established the rudiments of a dictionary for translating the language of projective modules into that of vector bundles. With this point of departure we have attempted to adapt some of the results and methods of homotopy theory to certain purely arithmetic and even noncommutative settings. Detailed proofs of our results will appear elsewhere. The authors are very grateful to Albrecht Dold who has educated them on the relevant parts of bundle theory.