本文给出了集值映射的上半连续性和下半连续性同图象的闭性和开性间的一些关系。

This paper gives some relation of U. S. C. and L. S. C. of set-valued mappings with closed and open property of image.

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在分明拓扑空间中引入强拟开集和强拟闭集的概念，并讨论了它们的性质。

In this paper, strong pre-open and strong pre-close sets were introduced in topological spaces and their properties were researched.

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利用正则开（闭）集引入LF拓扑空间之间的几种正则序同态和几种正则连续性，并讨论了它们的性质及其相互关系。

Regular order homomorphic mapping and regular continuity concepts are introduced by concepts of regular closed sets in LF topological spaces.

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