具有性质B的空间的闭映象

CLOSED MAPPING IMAGES OF SPACES WITH PROPERTY B

在本文中,我们得到了下述结果。(1)双商闭映射保持性质B;(2)完备映射的逆保持性质B;(3)闭Lindelof映射及其逆均不保持性质B;(4)对于正则基数k>ω,闭Lindelof映射及其逆均保持性质B(k)。

In this paper, we prove .some mapping theorems on spaces with property B;(1) Bi-ciuotient closed mappings preserve property B;(2) Perfect mappings inversely press we property B;(3) Closed Lindelof mappings preserve property B(k) for regular cardinal k>w; (4)Closed Lindelof mappings don't preserve-and don't inversely preserve property B.