X. Ge, “Some characterizations of cosmic-spaces”, Сиб. электрон. матем. изв., 2008, том 5,страницы 189

Статьи

Some characterizations of cosmic-spaces

X. Ge^ab

^a Department of Mathematics, College of Zhangjiagang, Jiangsu University of Science and Technology, China
^b Department of Mathematics, Suzhou University, China

Аннотация: In this paper, we prove that a space $X$ is a cosmic space if and only if it has a $\sigma$-strong network consisting of countable covers of $X$, which give a new characterization of cosmic-spaces.

Ключевые слова: cosmic space, separable metric space.

УДК: 515.126, 515.128

MSC: 54D65, 54E20, 54E40

Поступила 22 марта 2006 г., опубликована 8 апреля 2008 г.

Язык публикации: английский