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2007 Some results on vector bundle monomorphisms
Daciberg Lima Gonçalves, Alice Libardi, Oziride Manzoli
Algebr. Geom. Topol. 7(2): 829-843 (2007). DOI: 10.2140/agt.2007.7.829

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)].

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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

Information

Received: 13 November 2006; Revised: 23 March 2007; Accepted: 28 March 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1162.57023
MathSciNet: MR2336243
Digital Object Identifier: 10.2140/agt.2007.7.829

Subjects:
Primary: 57R90
Secondary: 57R25

Rights: Copyright © 2007 Mathematical Sciences Publishers

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