So I'm trying to finalize my schedule for this semester. I can't decide whether I should enroll in a grad level Differential Topology (Milnor) class or just the undergrad general topology one. The reason I'm having doubts about Diff Top is because I haven't really developed my analysis and topology intuition yet since I've only started doing a course on Rudin this semester. I don't know much about important theorems like inverse and implicit functions either. So it seems like a bad idea to enroll in Diff Top. Would you guys agree?
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The best thing to do is to ask that question to your differential topology professor. He knows maybe already which audience he's having in mind, and in particular the background he expects of every participant to have. Be honest to him about what you know and what you don't. This should give you a good idea of whether you should take this course or not.