TY - JOUR AU - R. R. Salimov PY - 2008/10/25 Y2 - 2024/03/29 TI - Local behavior of Q-homeomorphisms in Loewner spaces JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 60 IS - 10 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3252 AB - We study the problem of the elimination of isolated singularities for so-called Q-homeomorphisms in Loewner spaces. We formulate several conditions for a function Q(x) under which every Q-homeomorphism admits a continuous extension to an isolated singular point. We also consider the problem of the homeomorphicity of the extension obtained. The results are applied to Riemannian manifolds and Carnot groups. ER -