关键词: 逆极限空间;κ-仿紧;κ-次仿紧;狭义拟仿紧;遗传狭义拟仿紧

Abstract:

The theorems of inverses limits of strict quasi-paracompactness under the condition of the κ-paracompactness are given. It proves that the hereditarily strict quasiparacompactnes can be preserved by the inverse limit spaces under the conditions of hereditarily κ-subparacompactness, hereditarily κ-paracompactness respectively.

Key words: inverse limit space; κ-paracompact;κ-subparacompact; strict quasi-paracompact; hereditarily strict quasi-paracompact