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Remarkable and other fake cardinals
发布时间: 2018-05-12     20:43   【返回上一页】 发布人:Ralf Schindler


北京师范大学数学科学学院

 

周五公众报告

 

报告题目: Remarkable and other fake cardinals.

 

报告人: Professor Ralf Schindler, University of Münster

 

时间地点: 5月18日下午4:00-5:00 后主楼1124

 

邀请人:施翔晖

 

报告摘要:A remarkable cardinal, the prototype example of a "fake" large cardinal, is equiconsistent with each entry from a whole list of different set theoretical statements. We recently isolated a new forcing axiom, PFA-, which is strictly between BPFA and PFA and which can be added to that list. Since then, other types of "fake" large cardinals have been isolated. In an attempt to compute the strength of "every uncountable universally Baire set has a perfect subset" we isolated a large cardinal concept which resembles remarkable cardinals. This is partly joint work with J. Bagaria, V. Gitman, and T. Wilson.

 

 

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