Change of book?

I'm thinking of abandoning Jänich. It's not clear what he is assuming the reader already knows: he mentions manifolds, he assumes we know that addition and multiplication on \(\mathbb{R}^n\) and \(\mathbb{C}^n\) are continuous, and looking ahead I see he assumes we already know what an inner product space is.

I'll switch instead to a book that I have started in the past but never finished, and so know is a good introduction to topology for those starting from nothing: Munkres Topology (2013).

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