Anweshi
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Member for 14 years, 11 months
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On proving that a certain set is not empty by proving that it is actually large
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Сomplete homogeneous space which is not locally compact
I have edited the answer.
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Сomplete homogeneous space which is not locally compact
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Order of finite unitary group
@Pooja: I have replaced your link to the cached pdf file with the more stable link ams.org/mathscinet-getitem?mr=150210 instead. You can get such links by clicking on "Make Link" in the Math Review page.
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Order of finite unitary group
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Сomplete homogeneous space which is not locally compact
@Ivan: In any case, Sergei Ivanov assures us that Banach spaces are homogeneous. Infinite dimensional Banach spaces are complete and not locally compact. Therefore it would be an example. If you want a concrete example you can take the space of continuous functions on an interval, with supremum norm.
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Сomplete homogeneous space which is not locally compact
@Sergei Ivanov: The wikipedia article gives the definition only for vector spaces. I have edited the answer to include this.
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Сomplete homogeneous space which is not locally compact
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Applications and Natural Occurrences of Prime Numbers
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What are some interesting corollaries of the classification of finite simple groups?
@Emerton: I voted to close when the question was in a very different shape. Now it has improved. I would take back my vote to close if I could. But unfortunately that is not possible. So I have offered to vote to re-open if it does get closed. That is the best I can do now.
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Equivalence of the two definitions of k-compactness/k-presentability
@Peter: You might want to try out \underset{i}{\varinjlim} in place of \varinjlim_i .
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How do professional mathematicians learn new things?
@Joseph: I understand your irritation; but it is of no use to get angry at me. You can check the FAQ for yourself at mathoverflow.net/faq and verify that MO is not intended for discussions. In any case, you could have at least community-wikied your question and provided more information on why you need to know the answer to this question.
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What are some interesting corollaries of the classification of finite simple groups?
@Joseph: It is better now. Your questions generally suffer from a lack of detail. You were repeatedly posting one-line questions and it was not good etiquette. The people who write answers would probably have to write at least one paragraph. It is reasonable to expect you to provide more detail to your question.
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Equivalence of the two definitions of k-compactness/k-presentability
It works fine after one refresh(at every visit).
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Equivalence of the two definitions of k-compactness/k-presentability
A possible replacement is \underset{\rightarrow}{lim} and it would give the result as in faketestsite.stackexchange.com/questions/96/varinjlim-display .
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What are some interesting corollaries of the classification of finite simple groups?
Now I have no objections to the question. If it gets closed I will vote to re-open. @Steve D: Rather I was annoyed that the question was barely one-line.
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Indeterminate "$x$" in algebra/ring Theory
@Harry Gindi: It is not discussed per se. In his autobiography "The apprenticeship of a mathematician", somewhere towards the end he describes the time he had difficulties for getting a good job in some U.S. university. He was assigned to teach 15 hours per week or so(if I am not mistaken), and the audience was probably military recruits(again if I remember right). The students did not appreciate him. In one algebra class, one student asked him, "what is x?", and Andre Weil despairs that the student probably had no suspicion about the profundity of the question.