%0 Journal Article %J Expositiones Mathematicae %D 2019 %T Differential structure associated to axiomatic Sobolev spaces %A Nicola Gigli %A Enrico Pasqualetto %K Axiomatic Sobolev space %K Cotangent module %K Locality of differentials %X

The aim of this note is to explain in which sense an axiomatic Sobolev space over a general metric measure space (à la Gol’dshtein–Troyanov) induces – under suitable locality assumptions – a first-order differential structure.

%B Expositiones Mathematicae %G eng %U http://www.sciencedirect.com/science/article/pii/S0723086918300975 %R https://doi.org/10.1016/j.exmath.2019.01.002