I am working on Geometric Topology in 2 dimensions but I don't know which problems are important and make many connections between different areas. I hope Mathematicians can give me some ideas? Thank you so much!
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1$\begingroup$ Perhaps you could add more context. What is your background? If you are working on a project or thesis at a university work, why can't you ask your adviser to suggest a problem? $\endgroup$– Mark GrantCommented Apr 25, 2018 at 13:05
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$\begingroup$ This is way too vague. I've voted to close. $\endgroup$– Andy PutmanCommented Apr 25, 2018 at 16:51
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1 Answer
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The Table of Contents of this book might help focus your question, e.g., one chapter is on "The Schönflies theorem."
Moise, Edwin E. Geometric topology in dimensions 2 and 3. Vol. 47. Springer Science & Business Media, 2013. (Springer link.)
answered Apr 25, 2018 at 12:51