Weak equivalence classes of complex vector bundles
Hông Vân Lê
Contact the author: Please use for correspondence this email.
Submission date: 24. Aug. 2006 (revised version: August 2006)
published in: Acta mathematica Universitatis Comenianae, 77 (2008) 1, p. 23-30
MSC-Numbers: 53C10, 53C42, 55R25, 55R37
Keywords and phrases: chern class, complex Grassmannian, weak equivalence
Download full preprint: PDF (150 kB)
For any complex vector bundle of rank k over a manifold with the Chern classes and any non-negative integers we show the existence of a positive number N(k,m) and the existence of a vector bundle over whose Chern classes are . We also discuss a version of this statement for holomorphic vector bundles over projective algebraic manifolds.