可数仿紧性的闭映象

CLOSED MAPPING IMAGES OF COUNTABLY PARACOMPACT SPACES

本文改进了Henriksen—Isbell[1]的结果,证明了可数双商闭映射保持要数仿紧性,此外还证明了,边缘可数紧的闭映射保持T_1可数仿紧性。

In this paper I prove that : (1) countably biquotient, closed mappings preserve countably paracompact spaces, and (2) preipherally countably compact, closed mappings preserve T,countably paracompact spaces. So the paper improves the result of Henriksen and Tsbell.