- #1

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Thank you for your input!

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Woops! Didn't mean to post here. Can this be moved to the Academic Guidance forum?

- Thread starter masonic
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- #1

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Thank you for your input!

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Woops! Didn't mean to post here. Can this be moved to the Academic Guidance forum?

- #2

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Anyways I think it all depends on what your undergrad course consisted of. If you used something like Rudin, you probably already have a very good idea of basic topology (since one of the chapter titles is called just that) in metric spaces. In this case I would recommend a more advanced analysis course so you can see how to apply basic analysis techniques to some very interesting theory. I'm imagining some course that involves functional analysis, measure and Lebesgue integration, or fourier analysis.

If you haven't been exposed to metric topology, then not surprisingly I recommend topology. A lot of what you'll be doing will feel like analysis, except you won't be explicitly working with a metric, or a distance, but with open sets. A simple reason for this is that topological considerations will underlie many topics in analysis, and topology started out by generalizing the notions of limit and distance in basic real analysis.

Not sure if this is particularly sensical. I've learned a healthy amount of real analysis, but I only know the basics of topology so I've tried to make things unbiased :P.

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