Jin Cao
Abstract
It was proved that the following results:Let X = lim ←｛ X σ,π σ ρ ,Λ｝,｜Λ｜=λ ,and every π σ:X→X σ be open and ontomapping.If X is λ paracompact and every X σ in normal and, weakly θ refinable,the X is normal and θ refinable.Moreover the analogous result for hereditarily normal and hereditarily θ refinable properties is obtained.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
It was proved that the following results:Let X = lim ←｛ X σ,π σ ρ ,Λ｝,｜Λ｜=λ ,and every π σ:X→X σ be open and ontomapping.If X is λ paracompact and every X σ in normal and, weakly θ refinable,the X is normal and θ refinable.Moreover the analogous result for hereditarily normal and hereditarily θ refinable properties is obtained.
Key concepts: Inverse, Mathematics, Proposition, Pure mathematics, Paracompact space, Combinatorics, Discrete mathematics, Geometry