## Algebraic & Geometric Topology

### Some results on vector bundle monomorphisms

#### 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)].

#### Article information

Source
Algebr. Geom. Topol., Volume 7, Number 2 (2007), 829-843.

Dates
Revised: 23 March 2007
Accepted: 28 March 2007
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.agt/1513796708

Digital Object Identifier
doi:10.2140/agt.2007.7.829

Mathematical Reviews number (MathSciNet)
MR2336243

Zentralblatt MATH identifier
1162.57023

Subjects
Secondary: 57R25: Vector fields, frame fields

#### Citation

Gonçalves, Daciberg Lima; Libardi, Alice; Manzoli, Oziride. Some results on vector bundle monomorphisms. Algebr. Geom. Topol. 7 (2007), no. 2, 829--843. doi:10.2140/agt.2007.7.829. https://projecteuclid.org/euclid.agt/1513796708

#### References

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