Elefterios Soultanis

collaborators

5 papers

math.MG2026

Limits of mapping packages and Preiss's phenomenon

Milica Caković, Elefterios Soultanis

We show the existence of ultralimits of sequences of Hajlasz-Sobolev maps $f_{i} : X_{i} \to Y_{i}$ when $X_{i}$ converges to a limit space in the pointed measured Gromov (pmG) sense, partial…

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.MG2025

Characterization of metric spaces with a metric fundamental class

Denis Marti, Elefterios Soultanis

We consider three conditions on metric manifolds with finite volume: (1) the existence of a metric fundamental class, (2) local index bounds for Lipschitz maps, and (3) Gromov--Hau…

math.MG2025

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian

JesÃºs NÃºÃ±ez-ZimbrÃ³n, Enrico Pasqualetto, Elefterios Soultanis

We show that a metric space $X$ that, at every point, has a Gromov-Hausdorff tangent with the splitting property (i.e. every geodesic line splits off a factor $R$ ), is uni…

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…