Local behavior of Q-homeomorphisms in Loewner spaces
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.
English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 10, pp 1605-1617.
Citation Example: Salimov R. R. Local behavior of Q-homeomorphisms in Loewner spaces // Ukr. Mat. Zh. - 2008. - 60, № 10. - pp. 1378–1388.