3 papers
math.CV2026
On the global behavior of mappings and the correspondence of boundaries
N. Ilkevych, D. Romash, E. Sevost'yanov
We consider families of mappings with moduli inequalities, having different definition domains. Under some additional assumptions we have proved that such families are uniformly eq…
math.CV2026
On uniformly lightness of one class of mappings and Koebe-Bloch theorem
D. Romash, E. Sevost'yanov
We consider mappings satisfying a certain estimate of the distortion of the modulus of families of paths, similar to the geometric definition of quasiconformal mappings. Under appr…
math.CV2025
On uniformly lightness of ring mappings and convergence to a homeomorphism
Denis Romash, Evgeny Sevost'yanov
A family of mappings is called uniformly light if the image of the continuum under these mappings cannot be contracted to a point under the sequence of mappings of the family. In t…