2 papers
math.MG2019
General position theorem and its applications
Vladislav Aseev, Kirill Kamalutdinov, Andrei Tetenov
We introduce some general and special formulations of general position theorem for parametrized families of fractals and explain the techniques of its application to prove the exis…
math.GT2008
Moebius transformations preserving fixed anharmonic ratio
Vladislav Aseev, Tatyana Kergylova
O. Kobayashi in 2007 proved that differentiable mappings preserving anharmonic ratio are Moebius transformations. We strengthen his result and prove, that the requirement of differ…