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Is topology just a generalization of real analysis? https://ift.tt/eA8V8J

While trying to learn undergraduate topology, I came across this lecture by Dr. Zimmerman who claims "Topology is a generalization of real analysis, a lot of topology anyway." They are obviously related and topology does seem more general, but this statement still surprised me.

Can all of real (and complex) analysis be recast in the framework of topology?

Edit: Could I say that real analysis is just studying the topology of $\mathbb{R}$?



from Hot Weekly Questions - Mathematics Stack Exchange
Mithrandir

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