Direct limits of infinite-dimensional Carnot groups


  • Terhi Moisala
  • Enrico Pasqualetto



We give a construction of direct limits in the category of complete metric scalable groups and provide sufficient conditions for the limit to be an infinite-dimensional Carnot group. We also prove a Rademacher-type theorem for such limits.


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How to Cite

Moisala, T., & Pasqualetto, E. (2022). Direct limits of infinite-dimensional Carnot groups: Array. MATHEMATICA SCANDINAVICA, 128(2).