Nearly Weak θ Refinable Spaces

The following results are proved:(1)A space X is nearly weak θ refinable if X is nearly discretely weak θ refinable expandable and for every open cover u={Uα:α∈∧} of then there is a dense set DX and a V=∪n∈ω Vn of open refinements of u such that for each x∈D there are n∈ω and α∈∧ with x∈Uα and st(x,Vn)∪β≤αUβ;(2)Let X=∏α∈∧Xα be|∧|—paracompact,then it is weakrefinable space if ∏α∈FXα is weak θ refinable space for every F∈[∧]ω.