Geometria GeneralitzadaFinite generation of singular distributions
Resum: I give an outline of a proof (by my coauthors and I in 2010) of the fact that smooth singular distributions over a connected manifold can be generated pointwise by a finite number of global vector fields, a fact which can also be easily generalized to smooth singular vector bundles. We also showed that it is almost never the case that the space of smooth sections of such a distribution can be finitely generated as a module over the ring of smooth functions. I also describe what are called cosmooth distributions and other more recent tangentially related work (pun intended). Online: https://teams.microsoft.com/meet/342087927790667?p=qfsfWe67LYHCSCIhF8, Meeting ID: 342 087 927 790 667, Passcode: 9cX74pR2.
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