A Polish group without Lie sums

作者：van den Dries, Lou; Gao, Su^*

来源：ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2009, 79(1): 135-147.

DOI：10.1007/s12188-009-0019-y

• Polish group
• Lie sum
• Lie bracket
• Graev metric

We construct a Polish group with an invariant metric in which Lie sums and Lie brackets do not exist. The construction of the group and the proof of the main theorem use some facts of combinatorial nature about the free group with two generators equipped with a Graev metric.

• 出版日期2009-6