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Results tagged with vector-bundles
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user 12482
A continuously varying family of vector spaces of the same dimension over a topological space. If the vector spaces are one-dimensional, the term line bundle is used and has the associated tag line-bundles.
5
votes
Geometry and Integrability in Other Bundles
As it was already pointed out, on a bare vector bundle there is no intrinsic notion of "integrability". However, things change when you pass to a Lie algebroid: In this case the vector bundle $E$ is e …
- 8,098
4
votes
Accepted
Hermitian vector bundles and Hilbert $C^*$-modules
In addition to Nik Weaver's references, let me just sketch the proof which is in fact not very difficult:
A construction of Kaplansky (Rings of operators, Thm 26) shows that if $\mathcal{A}$ is a $*$ …
- 8,098