Is it true that after the the metrization theorems of Bing and Nagata-Smirnov that the field is more or less dead, so there are no unsolved problems? Is it the case that any problems coming up require more structure so fall into other fields?
Is point set topology a dead field?
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general-topology
soft-question
research
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0Is real analysis dead? One could view it the other way: You need real analysis for lots of things, and you need point set topology for lots of things too. – 2017-01-24
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0I don't think this is quite the right way to see things. Most research is not done at the level of undergrad general topology. Most research requires a lot more than the stuff you would learn in a general topology course. – 2017-01-24
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2https://staff.fnwi.uva.nl/j.vanmill/papers/papers1990/opit.pdf This lists some open problems in point set topology. – 2017-01-24
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0@PragnyaJha It's from 1990. Kind of proves the point, I am afraid. – 2017-03-16