Some results on vector bundle monomorphisms

2006/11/22 by Daciberg Lima Gonçalves, Dominique Rossin, Mathilde Bouvel +2
Computer Science · Engineering · Mathematics · #Advanced Combinatorial Mathematics #Bundle #Coding theory and cryptography #Combinatorics #Discrete mathematics #Mathematics #Permutation (music) #Separable space #Simple (philosophy) #Time complexity #cs.DM #cs.DS #graph theory and CDMA systems #math.CO #msc:05A05 #msc:05C05 #msc:05C12 #msc:05C85 #msc:90C39

paper · pdf · doi:10.2140/agt.2007.7.829

published in Algebraic & Geometric Topology 7(2), 829-843 (Mathematical Sciences Publishers)

arxiv created 2006/11/22 · openalex publication_date 2007/06/20 · arxiv updated 2014/09/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this paper we use the singularity method of Koschorke [2] to study the question of how many different nonstable homotopy classes of monomorphisms of vector bundles lie in a stable class and the percentage of stable monomorphisms which are not homotopic to stabilized nonstable monomorphisms. Particular attention is paid to tangent vector fields. This work complements some results of Koschorke [3; 4], Libardi-Rossini [7] and Libardi-do Nascimento-Rossini

Citations

• Simple Fast Algorithms for the Editing Distance between Trees and Related Problems
• Simple permutations and pattern restricted permutations
• Pattern matching for permutations
• The enumeration of simple permutations