σ-Products on Normal Strongly Quasi-Paracompact Spaces

The author proved the following two results: (1) Let X=σ{X α∶α∈A} be |A|-paracompact,if each finite subproduct of X is normal strongly quasi-paracompact, then X is normal strongly quasi-paracompact; (2) Let X=σ{X α∶α∈A} be hereditarily |A|-paracompact, if each finite subproduct of X is hereditarily normal strongly quasi-paracompact, then X is hereditarily normal strongly quasi-paracompact. Next, pointed out that there are the properties which is similar to the aboves about both normal weak -refinable spaces and normal weak δθ-refinable spaces.