Abstract
In this paper we use the singularity method of Koschorke [Lecture Notes in Math. 847 (1981)] 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 [Lecture Notes in Math. 1350, 1988, Topology Appl. 75 (1997)], Libardi–Rossini [Proc. of the XI Brazil. Top. Meeting 2000] and Libardi–do Nascimento–Rossini [Revesita de Mátematica e Estatística 21 (2003)].
Citation
Daciberg Lima Gonçalves. Alice Libardi. Oziride Manzoli. "Some results on vector bundle monomorphisms." Algebr. Geom. Topol. 7 (2) 829 - 843, 2007. https://doi.org/10.2140/agt.2007.7.829
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