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Comments on What is topology? When a person should learn it?

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What is topology? When a person should learn it? [closed]

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Closed as too generic by Peter Taylor‭ on Nov 8, 2021 at 08:14

This post contains multiple questions or has many possible indistinguishable correct answers or requires extraordinary long answers.

This question was closed; new answers can no longer be added. Users with the reopen privilege may vote to reopen this question if it has been improved or closed incorrectly.

What is topology? When a person should learn it?

What I know about it that is, it describes place, location field- I don't have deeper knowledge of the topic.

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3 comment threads

When you're old enough (1 comment)
"What is topology?" (4 comments)
Topology is a vast field (1 comment)
When you're old enough
whybecause‭ wrote over 2 years ago

An opinionated answer: I love topology and hate how it's taught in just about every course and textbook I've ever encountered. For this reason, I think you appreciate topology the most after you've learned a lot of other stuff first and then can appreciate what it's talking about because you can fill in the pedagogical gaps on your own (more or less). Therefore I would delay this until after experiencing: Abstract Algebra, Real Analysis, and Mathematical Logic. Unfortunately, though, this pushes learning Topology until your senior year or possibly never, in an undergrad program. If you end up loving Topology and wanting to do research in it, that could be too late. So ... take this grumpy opinion with a grain of salt. It is at least in principle possible to take the course and do well after only a few proof-based math courses. I just feel that the typical student who does this, does not really "get" what it is in its soul.