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Просмотр материалаАвтор (Фамилия, Имя, Отчество): | Karimov, U.H. | Заглавие: | On nerves of fine coverings | Название издания: | Publicationes Mathematicae Debrecen | Год: | 1999 | Номер издания: | 54/3-4 | Ключевые слова: | nerve of a covering,
fine basis,
compactum,
separable metric space | Аннотация: | A basis U of a topological space is said to be fine if the closures of every two of its disjoint elements are disjoint. The following are our main results: (1) Every metric space has a fine open basis; (2) Let X and Y be compact Hausdorff spaces with fine bases U and V, respectively. Suppose that the nerves N(U) and N(V) are simplicialy isomorphic. Then X and Y are homeomorphic; and (3) Let (X1, r1) and (X2, r2) be separable metric spaces without isolated points. Then N(r1) is simplicially isomorphic to N(r2). | Держатель: | | Язык: | Английский | | | Коллекция: | Статьи |
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