几乎超b-紧空间的若干性质研究

Study of some properties of almost supra b-compact space

本文在超紧空间和超b-紧空间的基础上,探究了他们的推广空间—几乎超b-紧空间和弱超b-紧空间的遗传性和映射性质.得出如下结论:几乎超b-紧空间在超b*连续映射下的像是几乎超紧的,几乎超b-紧空间中的超b-闭子集是几乎超b-紧的,弱超b-紧空间中的超b-闭开子集是弱超b-紧的.

Based on the supra compact spaces and supra b-compact spaces,this paper explores their generalized spaces-the heredity and mapping properties of almost supra b-compact spaces and mildly supra b-compact spaces.The results are that image of almost supra b-compact spaces under supra b*continuous mapping is almost supra compact spaces,supra b-closed subset of almost supra b-compact spaces is almost supra b-compact spaces,supra b-clopen subset of mildly supra b-compact spaces is mildly supra b-compact spaces.