The Kolmogorov-Riesz compactness theorem

We show that the Arzela-Ascoli theorem and Kolmogorov compactness theorem both are consequences of a simple lemma on compactness in metric spaces. Their relation to Helly's theorem is discussed. The paper contains a detailed discussion on the historical background of the Kolmogorov compactness theorem.Comment: This version is lightly revised in response to referee comments. The paper will appear in Expositiones Mathematica

Проблемы адаптации норм европейской хартии местного самоуправления к российской модели политико-административных отношений

The article is devoted to the examination of the contemporary model of political-administrative relations between the bodies of state power and the local authorities in the context of the requirements of the European Charter of Local Self-government.Статья посвящена исследованию современной модели политико-административных отношений между органами государственной и местной власти в контексте требований Европейской хартии местного самоуправления

Problems of adaptation of the standards of the European charter of local self-government to the Russian model of political-administrative relations

The article is devoted to the examination of the contemporary model of political-administrative relations between the bodies of state power and the local authorities in the context of the requirements of the European Charter of Local Self-government