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math.DG2025
Some examples of use of transfinite induction in analysis
Nicola Gigli
It is not uncommon in analysis that existence of extremal objects is obtained via an iterative procedure: we start from a given admissible object, then modify it, then modify again…
math.FA2025
Hyperbolic Banach spaces
Nicola Gigli
The standard theory of Banach spaces is built upon the notions of vector space, triangle inequality and Cauchy completeness. Here we propose a `hyperbolic' variant of this `ellipti…