Topology, functional analysis, and group theory

  • #1

Main Question or Discussion Point

What is the relationship between topology, functional analysis, and group theory? All three seem to overlap, and I can't quite see how to distinguish them / what they're each for.
 

Answers and Replies

  • #2
Bacle2
Science Advisor
1,089
10
I think the question is too broad as stated. Very generally, topology is about

continuity and about distinguishing spaces up to homeomorphisms, functional

analysis is about solving linear equations Lu=f in an infinite-dimensional context,

and group theory is about groups. Why don't you go over, say, Wikipedia and ask

something a little more narrow?
 

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