Topological Groups Flashcards
1
Q
Define a topological group
A
2
Q
Are subgroups topological groups?
A
3
Q
Define left translation
A
4
Q
What is special about components that contain the identity
A
5
Q
Define action
A
6
Q
Define an orbit
A
7
Q
Are orbits connected
A
8
Q
When is an action transitive?
A
When X/G is a single point
9
Q
When is X connected
A
10
Q
Is SO(n) connected?
A
