Lipschitz algebras and derivations II: exterior differentiation

  title={Lipschitz algebras and derivations II: exterior differentiation},
  author={N. Weaver},
  journal={Journal of Functional Analysis},
  • N. Weaver
  • Published 1998
  • Mathematics
  • Journal of Functional Analysis
  • Abstract Basic aspects of differential geometry can be extended to various non-classical settings: Lipschitz manifolds, rectifiable sets, sub-Riemannian manifolds, Banach manifolds, Wiener space, etc. Although the constructions differ, in each of these cases one can define a module of measurable 1-forms and a first-order exterior derivative. We give a general construction which applies to any metric space equipped with a σ -finite measure and produces the desired result in all of the above… CONTINUE READING
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