关于弱■-加细空间的积空间

On Products of Weak -refinable Spaces

本文证明了弱-加细空间(弱-加细空间)与正则δ-紧空间的积是弱-加细的(弱-加细的);当每一n∈N,X_i是完备的弱-加细空间时,X_i 是弱-加细的。

In this paper, we prove following theorems. (1) The product of weak θ refinable space and regular δ compact space is weak θ refinable. (2) The countable product ∏ni=1X i is weak  δθ refinable if finite product ∏∞i=1X i is perfectly weak  δθ  refinable for each n∈N.