- #1
mathboy
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I've started studying point-set topology a month ago and I'm hooked! I guess one reason is because each question is proof-based, abstract, and non-calculational, which is what I like. I've decided to take on the project of proving every single theorem in topology (that is found in textbooks), starting with the easiest and working my way up.
I own six topology textbooks and will be buying more. Every theorem serves as a topology problem, and I will be trying to prove every single one, peeking at the proof when necessary, and I'm going to write out every proof as well (with no detail left out). The exercises themselves are also theorems which of course I will try to prove.
Now here's my question for you. I will often get stuck trying to prove a theorem, so having the proof in the book will be handy when I have no other choice but to take a peek. For the theorems found in the exercises where there's no proof in any of the other books I have, can I find the proofs somewhere (if I'm stuck trying to do the proof myself). If I can't find the proof in any of my textbooks (because the theorem is very odd-ball), where can I find it? For example, I encountered an exercise that asks me to prove a theorem about orthocompact spaces. I am stuck but can't find that topic in any of my other textbooks. The (original) proof must be published somewhere, so how do I know where I can find it?
I own six topology textbooks and will be buying more. Every theorem serves as a topology problem, and I will be trying to prove every single one, peeking at the proof when necessary, and I'm going to write out every proof as well (with no detail left out). The exercises themselves are also theorems which of course I will try to prove.
Now here's my question for you. I will often get stuck trying to prove a theorem, so having the proof in the book will be handy when I have no other choice but to take a peek. For the theorems found in the exercises where there's no proof in any of the other books I have, can I find the proofs somewhere (if I'm stuck trying to do the proof myself). If I can't find the proof in any of my textbooks (because the theorem is very odd-ball), where can I find it? For example, I encountered an exercise that asks me to prove a theorem about orthocompact spaces. I am stuck but can't find that topic in any of my other textbooks. The (original) proof must be published somewhere, so how do I know where I can find it?
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