And the property of relative quasi - paracompact under the perfect mapping was also discussed.
同时，对相对拟仿在完备映射下的性质也做出了初步的研究。
X is the compact-covering quotient ∑ - P-image of a paracompact locally compact space;
x是仿紧局部紧空间的紧覆盖商∑-p映象；
Result 2 (Theorem 2.2) Suppose f: X → Y is a mapping, where X is a paracompact locally compact space.
结果2（定理2.2）设映射f：X→Y，其中X是仿紧局部紧空间。
The relative topological properties of subspace of regular, normal, compact, paracompact and sequential space under maps and other separation properties are also discussed. And some known results are generalized.
并讨论了正则、正规、紧、仿紧、序列式空间的子空间的相对拓扑性质在映射下的遗传性质以及其它一些相对分离性质，从而推广了一些已知结果。
Abstract In this paper, it is proved that any almost lower semicontinuous set-valued mappings with convex and closed images from a paracompact topological space to the real number axis always admits a continuous selection, which generalizes the result given in [1].
本文推广了〔1〕中的结果，证明了如下定理，任何从仿紧拓扑空间到实轴的集值映射若具有凸闭像且几乎下半连续，则存在连续选择。
Tychonoff Product on σ - Paracompact Spaces
关于σ-仿紧空间的Tychonoff乘积性质
In this paper, we introduce the concept of a nearly strongly paracompact space, and give some characterizations of it.
引入了近似强仿紧空间的定义，给出了近似强仿紧空间的一些刻画，并且讨论了它们的映射性质。
Abstract In this paper, it is proved that any almost lower semicontinuous set-valued mappings with convex and closed images from a paracompact topological space to the real number axis always admits a continuous selection, which generalizes the result given in [ 1 ].
本文推广了〔1〕中的结果，证明了如下定理，任何从仿紧拓扑空间到实轴的集值映射若具有凸闭像且几乎下半连续，则存在连续选择。