English

Remark on the Serre-Swan theorem for non-compact manifolds

Mathematical Physics 2007-05-23 v1 Differential Geometry math.MP

Abstract

The Serre-Swan theorem provides the link between projective modules of finite rank and vector bundles over compact manifolds, and plays a prominent role in non-commutative geometry. Its extension to non-compact manifolds is discussed.

Keywords

Cite

@article{arxiv.math-ph/0102016,
  title  = {Remark on the Serre-Swan theorem for non-compact manifolds},
  author = {G. Sardanashvily},
  journal= {arXiv preprint arXiv:math-ph/0102016},
  year   = {2007}
}

Comments

2 pages

R2 v1 2026-07-22T16:20:11.551Z