摘要
在可拓集、可拓域、稳定域的基础上引入可拓集的λ—上域,λ—下域,λ—界及可拓集关于变换T的—上域,λ—下域,λ—可拓集,λ—稳定域。分析了可拓集的交、并的λ—可拓域和λ—稳定域的结构。研究了可拓集的交、并的λ—可拓域和λ—稳定域与可拓集的λ—上域,λ—下域,λ—可拓域,λ—稳定域之间关系。
Based on extension domain set, extension domain and stability domain, the paper introduces λ- superior domain, λ- inferior domain and λ- boundary of extension set as well as λ- superior domain, λ- inforior domain, λextension domain and λ - stability domain of transform T of extension set. It also analyzes the structure of λ- extension domain and λ - stability domain of intersection and union of entension set and theirrelationship wish those mentioned above.
关键词
λ-上域
λ-下域
λ-可拓域
λ-稳定域
可拓集
λ - saperior domain
λ- inferior domain
λ- boundary
λ- extension domain
λ-stability domain