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Showing 2006 · math.GRShow all
3 papers · 2 filters
math.GR2006
Pro-Lie groups which are infinite-dimensional Lie groups
K. H. Hofmann, K. -H. Neeb
A pro-Lie group is a projective limit of a family of finite-dimensional Lie groups. In this note we show that a pro-Lie group is a Lie group in the sense that its topology is c…
math.GR2006★ 2 cited
Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories
Helge Glockner
Let G be a Lie group which is the union of an ascending sequence of Lie groups G_n (all of which may be infinite-dimensional). We study the question when G is the direct limit of t…
math.GR2006
Direct limit groups do not have small subgroups
Helge Glockner
We show that countable direct limits of finite-dimensional Lie groups do not have small subgroups. The same conclusion is obtained for suitable direct limits of infinite-dimensiona…