DIRECT LIMITS OF INFINITE-DIMENSIONAL CARNOT GROUPS

被引：0

作者：

Moisala, Terhi ^{[1
]}

Pasqualetto, Enrico ^{[2
]}

机构：

[1] Univ Jyvaskyla, POB 35, FI-40014 Jyvaskyla, Finland

[2] Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56126 Pisa, Italy

来源：

MATHEMATICA SCANDINAVICA | 2022年 / 128卷 / 02期

基金：

芬兰科学院; 欧洲研究理事会;

关键词：

D O I：

10.7146/math.scand.a-132062

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a construction of direct limits in the category of complete metric scalable groups and provide sufficient conditions for the limit to be an infinite-dimensional Carnot group. We also prove a Rademacher-type theorem for such limits.

引用

页码：161 / 200

页数：40

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