摘要
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 and
prove 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 the
Byczowski &. Pol theorem(i. e. Cech-complete spaces are Br-spaces) in two aspects.
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.
关键词
BR-空间
局部CECH完备空间
局部凸向量空间
Br-spaces
Sorgenfrey Line
Well-distributed complete spaces
locallyCech-complete spaces
