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中文摘要：
引入序列可膨胀空间的概念，给出了它的一些性质，并且证明完备映射保持序列可膨胀性．此外，指出了序列可膨胀空间的任一开覆盖有局部有限的开加细．
英文摘要：
We introduce the concept of sequentially expandable spaces, explain some their characteristics and show that perfect mappings preserve sequentially expandable spaces. And we prove that a space is sequentially expandable if every sequence open cover of has a locally finite open refinement.
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