Elefterios Soultanis

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math.DG2026

Pull-back of differential forms by multi-valued Sobolev maps, and the quasiregularity of the multi-valued inverse of a quasiregular map

Elefterios Soultanis

We use Almgren's framework of multi-valued maps to construct a multi-valued inverse $F : f (I^c ◯) \to A_{d} (R^{n})$ of a quasiregular map $f : I^c ◯ \to R^{n}$ of finite deg…

math.DG2025

Hilbert space factor of metric spaces

Thomas Foertsch, Alexander Lytchak, Elefterios Soultanis

We prove that any complete metric space has a unique decomposition as a direct product of a possibly finite or zero-dimensional Hilbert space and a space that does not split off li…