发表机构
University of Michigan(密歇根大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本研究确定偏序集弗赖斯类上Harman-Snowden意义下的测度空间结构,发现其为平面、八条直线与15个孤立点的并集,是该类空间非等维且维度≥2的首个本原案例,借助ChatGPT完成部分论证。
AI 中文摘要
我们确定了偏序集的弗赖斯类上的(Harman-Snowden意义下的)测度:测度空间是一个平面、八条直线和15个孤立点的并集。这是该空间首次非等维的情况,也是其维度至少为2的首个本原案例。本研究借助ChatGPT获得诸多论证,写作完全由作者完成。
英文摘要
We determine the measures (in the sense of Harman--Snowden) on the Fraïssé class of partially ordered sets: the space of measures is a union of a plane, eight lines, and 15 isolated points. This is the first case where the space is not equidimensional, and the first primitive case in which it has dimension at least two. ChatGPT was used to obtain many arguments. The writing was done entirely by the author.
Comments56 pages