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Research papers

$\aleph_0$-spaces and images of separable metric spaces

Y. Ge

Soochow University, Department of Mathematics

Abstract: A space $X$ is an $\aleph_0$-space if and only if $X$ is a sequencecovering and compact-covering image of a separable metric space. It follows that a space $X$ is a $k$-and-$\aleph_0$-space if and only if $X$ is a sequencecovering and compact-covering, quotient image of a separable metric space.

UDC: 515.126, 515.128

MSC: 54E40, 54D50, 54D65

Received March 9, 2005, published May 24, 2005

Language: English

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