再论HF-拓扑空间

Further discussion on HF-topological space

继续探讨了HF-拓扑空间,主要得到了HF-空间判别定理,HF-空间是遗传的,HF-性质是拓扑不变的等结果.最后研究了有限集X(|X|=n)上的HF-空间的同胚分类问题,并得到当n=1,2,,40时X上的HF-空间同胚类个数.

HF-topological space is discussed in this paper further. The criterion, the hereditary property and the topological property are discovered. At last, the problem of homeomorphic classification on finite set X （｜X｜=n） is presented, and the exact results are also obtained while n=1,2,…40.