【摘要】 研究几乎代数dcpo的性质,并得到如下主要结果:1)具有可数几乎代数弱闭基的有界完备domain构成的范畴是Cartesian闭的;2)对每个具有(可数)几乎代数基的dcpo,其相容下幂domain是一个具有可数几乎代数弱闭基的有界完备domain.更多还原

【Abstract】 In this paper,we study the properties of dcpos with almost algebraic bases. The main results are as follows: 1) The category of bounded complete domains with countable almost algebraic weakly closed bases is cartesian closed; 2) For any dcpo with an almost algebraic basis,its consistent lower powerdomain is a bounded complete domain with countable almost algebraic weakly closed bases.更多还原