In this paper,the following results are obtained: (1) The Sorgenfrey Line is a non-Br-space; (2) We introduce Well-distributed complete spaces and locally Cech complete spaces andprove both the two classes of spacs ar...In this paper,the following results are obtained: (1) The Sorgenfrey Line is a non-Br-space; (2) We introduce Well-distributed complete spaces and locally Cech complete spaces andprove both the two classes of spacs are Br-spaces. The first result shows that there is the non-Br-space which is paracompact, Lindelof and complete quasi-metric. The second result generalizes theByczowski &. Pol theorem(i. e. Cech-complete spaces are Br-spaces) in two aspects.展开更多
文摘In this paper,the following results are obtained: (1) The Sorgenfrey Line is a non-Br-space; (2) We introduce Well-distributed complete spaces and locally Cech complete spaces andprove both the two classes of spacs are Br-spaces. The first result shows that there is the non-Br-space which is paracompact, Lindelof and complete quasi-metric. The second result generalizes theByczowski &. Pol theorem(i. e. Cech-complete spaces are Br-spaces) in two aspects.
