I was browsing “Baby Rudin” (*Principles of Mathematical Analysis*) for reasons which I have forgotten and came across exercise 19 in chapter 4, which piqued my curiosity enough for me to write a solution to it. The exercise is to prove that a function with the intermediate value property and an additional topological hypothesis is continuous.

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Could you please solve exercise number 14 1nd 15 in Real and Complex Analysis (Walter Rudin 2nd Edition)

Which chapter?