Johan Noldus call home. I think you may have a QG paper to write. Marc Rieffel (I remember him slightly from a seminar years ago) just posted this. IMHO it is an intuitive or conceptual result, possibly an important one in context, and it seems "down Noldus alley". Others here might conceivably find it useful too. http://arxiv.org/abs/math.MG/0608266 Vector bundles and Gromov-Hausdorff distance Marc A. Rieffel 55 pages Subj-class: Metric Geometry; Operator Algebras "We show how to make precise the vague idea that for compact metric spaces that are close together for Gromov--Hausdorff distance, suitable vector bundles on one metric space will have counterpart vector bundles on the other. We also develop some computational techniques, and illustrate our ideas with simple specific examples involving vector bundles on the circle, the two-torus and the two-sphere. Our topic is motivated by statements concerning monopole bundles in the theoretical high-energy physics literature."