仿紧局部cosm ic空间的一些性质

Some Properties of Paracompact Locally Cosmic Spaces

给出仿紧局部 cosmic空间的一个特征 ;建立了仿紧局部 cosmic空间的几类序列覆盖L映象的特征 ;证明了闭 L映射和商 ss映射保持仿紧局部 cosmic空间的性质 .此外 ,还给出仿紧局部 cosmic空间的一些映射性质 .

In this paper, we obtain a characterization theorem and some mapping theorems on paracompact locally cosmic spaces, and establish the characterizations of images of paracompact locally cosmic spaces under some sequence covering and L mapping. In addition, it is shown that paracompact locally cosmic spaces are preserved under closed L mappings and quotient ss mappings, respectively.