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Topology, functional analysis, and group theory

  1. Aug 29, 2012 #1
    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.
  2. jcsd
  3. Aug 30, 2012 #2


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    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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