摘要
本文证明了：（１）Ｔ＿１完全的弱δθ－加细空间是遗传性不可约空间，肯定地回答了作者前论文《关于不可约空间》中的问题３；（２）闭、可数紧映射及开、可数紧映射均保持点可数基，由后者可得Ａｒｌｉａｎｇｅ１’ｓｋｉｉ的ＭＯＢＩ类的每一空间都是不可约空间，肯定地回答了上述论文中的问题８。
In this paper, two new results are proved:(1)T_1 perfect weak δθ-refinablespaces are hereditarily irreducible. This result answers affirmatively the problem 3 posed by thearthor.(2)Countably compact maps, whether closed or open, preserve point-countable base,Itfollows thereby that every space in Arhangel’skii’s class MOBI is irreducible. This conclusionaffirms as well the posed problem 8.
出处
《数学进展》
CSCD
北大核心
1995年第5期423-426,共4页
Advances in Mathematics（China）
