Tagged Questions
3
votes
1answer
150 views
Non-discrete locally compact group
Why every non-discrete locally compact group contains a nontrivial convergent sequence?
4
votes
1answer
98 views
Why are locally compact groups Weil complete?
Why are locally compact groups Weil complete?
Note: A topological group $G$ is Weil complete if every left Cauchy net in $G$ is convergent.
Thank you, and sorry if I have bad writing.
3
votes
1answer
146 views
If both $H$ and $G/H$ are locally compact then $G$ is locally compact (topological Group)
How do I prove this statement?
Let $G$ be a Topological group and let $H$ be a subgroup of $G$, if both $H$ and $G/H$ are locally compact then $G$ is locally compact. (we will endow the set $G/H$ ...
2
votes
1answer
170 views
Compact group actions and automatic properness
I am currently re-reading a course on basic algebraic topology, and I am focussing
on the parts that I feel I had very little understanding of. There is one exercise
in the chapter devoted to groups ...
