James R. Munkres' TOPOLOGY, 2nd edition: How to check my work?

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I'm trying to learn, or revise, some topology from James R. Munkres' TOPOLOGY, 2nd edition. I'm working alone; that is, I'm self-learning. It is quite fun. But the problem is how do I check if I've managed to arrive at a correct solution to an exercise problem? Can I get hold of a solution manual? Or, can I find someone over the Internet with whom I can discuss my solutions? Of course, putting up every other problem at Mathematics Stack Exchange, it seems to me, is not so practical!

What would be the best possible for me?

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4 Answers

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If you already got a solution/proof, I would just go check it another time, and another time. Imagine you are explaining your proof to someone really skeptical. And try to convince this most skeptical part of yourself.

I don't think you need someone else, except if you are really stuck on some exercise, and don't know how to proceed. In that case, you can use this site.

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You can find solutions of most of them in the following link:

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If anyone is interested, I wrote down solutions to exercises in Chapters 2 and 3.

You can find them here:

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I learned general topology exactly in this way, and basically I'm a topologist now! I remember that I never needed to check if the solutions were correct because most of those exercises were straightforward. My advice is: try to correct your solutions by yourself. Just write down extensive solutions of your problems, and double check each step asking to yourself: "which property/theorem/lemma am I using here?".

PS: of course, if you need extra help you can always ask here!

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