1(1~*)-次仿紧空间的次仿紧逆象(英文)

Subparacompact inverse i mages of1(1~*)-subparacompact spaces

证明了次仿紧映射逆保持1(1*)-次仿紧性;作为应用我们证明了闭Lindelof正则映射逆保持1(1*)-次仿紧性(不需要原象空间和原象空间是正则的).

We prove that subparacompact mappings inversely preserve 1 （ 1^＊ ）-subparacompactness. As an application of this result, we obtain closed Lindelof regular mappings inversely preserve 1 （1^＊）-subparacompactness （without requiring the regularity of the spaces involved）.