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SOURCE:   Almanac of Modern Science and Education. Tambov: Gramota, 2014. № 8. P. 181-183.
SCIENTIFIC AREA: Physical-Mathematical Sciences
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CLASS L OF SPACES AND ITS PROPERTIES

Shirokov Lev Vasil'evich
Lobachevsky State University of Nizhni Novgorod (Branch) in Arzamas


Abstract. The article carries out the study of the global and local properties of the spaces of class L . The author considers the properties of this class spaces connected with various types of cardinal characteristics such as character, narrowness, weight. The results shown in this paper are an essential addition to the theory of dyadic compacts. The proof of the main results of this article is based on the use of modern mathematical methods.
Key words and phrases: топологическое пространство, непрерывное отображение, тихоновский куб, канторов куб, компакт, экстремально несвязное пространство, характер точки, теснота, суперрасширение, topological space, continuous mapping, Tychonov cube, Cantor cube, compact, extremely disconnected space, character of point, narrowness, superextension.
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