2003•Shuxue jikanRequires access

On Inverse Limits of Normal δθ-refinable Spaces

Cao Jin-wen

Abstract

This paper proves the following results: Le t X= lim ←｛X σ,π σ ρ,Λ｝,｜Λ｜=λ, and every p rojection π σ: X→X σ be an open and onto mapping. (A) If X is λ-paracompact and every X σ is normal and δθ-refinable, then X is normal and δθ-refinable; (B) If X is hereditarily λ-pa racompact and every X σ is hereditarily normal and hereditarily δθ- refinable, then X is hereditarily normal and hereditarily δθ-refiable .

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Key concepts: Mathematics, Inverse, Pure mathematics, Paracompact space, Combinatorics, Geometry, Hausdorff space