2001•Journalof Southwest China Normal UniversityRequires access
On Inverse Limits Proposition of Normal Weakly Subme Tacompate Spaces
Jin Cao
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Abstract
The following resutls are proved: Assume that X= lim ←｛x\-σ, π σ ρ, Λ｝, ｜Λ｜=λ , and the projection π σ: XX\-σ is an open and onto mapping for every σ∈Λ , if X is λ -Paracompact and every X\-σ is normal and weakly submetacompact, the X is normal and weakly submetacompact. Moreover, an analogous result of hereditarily normal weakly submetacompact is obtained.