No abstract

In this paper, we introduce a new class of closed sets called generalization of generalized star closed sets (briefly (gg)* -closed) in topological Spaces. A subset A of a topological space (X , τ) is called (gg)* -closed if U contains regular closure of A whenever U contains A and U is gg-open in (X , τ). We studied the relation of this set with some of the other closed and generalized closed sets and some of the characteristics, of (gg)*-closed sets have been investigated and studied.

The article is devoted to the current problem of modern linguodidactics, Russian language studies and linguoculturology - linguocultural concepts e-teaching in intercultural context on the material of the Russian language. The article deals with using information and communication technologies in teaching Russian as a foreign language in linguoculturological aspect. Methods of online learning Russian as a foreign language to Chinese students are offered. This study is based on methods of analytical description, systematization, generalization, comparative analysis, linguoconceptual and linguoaxiological analysis, e-learning. As the material of a research, Chinese and Russian aphoristic funds are used (more than 100 aphoristic statements containing lexemes friend , friendship , to be on friendly terms ). The article presents electronic educational teaching materials, which take into account students' specific communication competences formed in the process of studying Russian linguistic and cultural concepts in an intercultural context. Within the framework of a series of webinars (online seminars), the stages of axiological analysis of the concept friendship , verbalized in Chinese and Russian aphorisms, are revealed in the process of e-learning linguocultural concepts in an intercultural context by Chinese students studying Russian as a foreign language. The scientific novelty of the article lies in the fact that for the first time the article offers exercises for online teaching Russian as a foreign language with linguocultural concepts analysis in an intercultural context on the material of Chinese and Russian aphorisms. The article contributes to the development of linguoconceptology, linguoculturology, linguoaxiology, Russian language studies, methods of teaching Russian as a foreign language, e-learning in an intercultural context, and intercultural communication. The materials of the study can be used at classes on Russian as a foreign language, linguodidactics, intercultural communication, and translation theory and practice. The materials of the study could form the basis of an electronic textbook for teaching linguistic and cultural concepts in an intercultural context in the course of Russian as a foreign language.