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Tukey Order, Small Cardinals, and Off-diagonal metrization - 冯自勤教授(Auburn University)

作者:   来源:  时间:2019-06-14

 

 

 

题目:Tukey Order, Small Cardinals, and Off-diagonal metrization

 

报告人:  冯自勤教授

 (Auburn University)

 

Abstract : In 1945, Sneider proved that any compact space X with a G_/delta-diagonal is metrizable. Movited by this result, we define a space with an M-diagonal. We investigate spaces with a Q-diagonal, where Q is the space of rational numbers, and prove that any compact space with a Q-diagonal is metrizable. This answers an open question raised by Cascales, Orihuela, and Tkachuk positively. In the proof, we use Tukey order and a few independent statements of small cardinals.

     

     

   

时间:6月14日(周五)下午15:00-16:00

地点:首都师范大学本部教二楼 727 教室

联系人:牟磊

 

欢迎全体师生积极参加!


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