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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2008 Volume 5, Pages 189–192 (Mi semr98)
Research papers

Some characterizations of cosmic-spaces

X. Geab

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

Abstract: 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.

Keywords: cosmic space, separable metric space.

UDC: 515.126, 515.128

MSC: 54D65, 54E20, 54E40

Received March 22, 2006, published April 8, 2008

Language: English



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