一个core－紧而非局部紧空间的简化构造

SIMPLIFIED CONSTRUCTION OF CORE-COMPACT AND NON-LOCALLY COMPACT SPACE

本文构造了一个ｃｏｒｅ－紧而非局部紧的拓扑空间，简化了Ｈｏｆｍａｎｎ，Ｋ．Ｈ．和Ｌａｗｓｏｎ，Ｊ．Ｄ．曾给出的著名的例．

In this paper,a topology space which is core-compact but not locally compact will be given.Compared with the well-known example given by Hofmann,K.H.and Lawson,J.D.our construction is quite simple.