講座主題：Completion of fuzzy quasi-uniform spaces
主講人： 岳躍利
工作單位：中國(guó)海洋大學(xué)
活動(dòng)時(shí)間：2021年1月8日 14:00-14:50
講座地點(diǎn)：騰訊會(huì)議：537 764 261
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)容摘要：
In this talk, we give a kind of Cauchy completeness in probabilistic quasi-uniform space by using pair T-filters, and prove that this kind of Cauchy completeness is equivalent to the T-completeness of induced probabilistic uniform space introduced by H?hle. We also give a characterization of Cauchy completeness by Lawvere completeness. Then, we study the completion of probabilistic (quasi-)uniform space and show that each T0 separated probabilistic quasi-uniform space has a T0 Cauchy completion. Finally, in probabilistic quasi-metric space, we study the relationship between the completeness of induced quasi-uniform space and the completeness of probabilistic quasi-metric space.
主講人介紹：
岳躍利：中國(guó)海洋大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授，碩士生導(dǎo)師；獲2010年全國(guó)優(yōu)秀博士學(xué)位論文題名論文;主要從事格值拓?fù)涞难芯?，在格值度量空間、一致空間和收斂空間等方面發(fā)表多篇高質(zhì)量的論文.
