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Jul
21
answered Hahn-Banach restricted to a pre-dual
Jul
21
accepted “Uniformly (co)well-powered” categories?
Jul
21
comment “Uniformly (co)well-powered” categories?
Andreas, which reading do you recommend?
Jul
20
revised “Uniformly (co)well-powered” categories?
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Jul
20
comment “Uniformly (co)well-powered” categories?
Yes, I found this result about well-ordering of the class of all sets in A.Levy's book. Andreas, I think you should put what you wrote in form of answer, and I will close this question. I'll make corrections in the question so that your answer will be natural. Or I do not know what to do with this. Eric, I still do not understand what you wrote. That is interesting, please, give me a reference.
Jul
20
comment “Uniformly (co)well-powered” categories?
@Eric and Andreas, I need a reference. This is the first time I hear this. The class of all sets can be well-ordered? And this trick with sending X to the set of all skeleta... Is there a text to look how people do this?
Jul
20
comment “Uniformly (co)well-powered” categories?
To apply the axiom of choice (i.e. to choose this map $X\mapsto S_X$) we must already have a map which to every $X$ assigns a set which contains some $S$ as element. But we do not have such a map. Or you mean something else?
Jul
20
comment “Uniformly (co)well-powered” categories?
@Eric Wolfsey: this must be a misunderstanding... I don't see how this follows from global choice.
Jul
20
asked “Uniformly (co)well-powered” categories?
Jul
19
comment Tangent vectors on the algebra of trigonometric polynomials
@Qiaochu Yuan: Yes, I do not see the difference. To moderators: I flagged the previous comment by chance, excuse me, that was not intentionally!
Jul
19
comment Tangent vectors on the algebra of trigonometric polynomials
For me it is not obvious that ${\sf Trig}(G)$ coincides with the algebra of pokynomials on the complexification of $G$. Why is this so?
Jul
18
comment Tangent vectors on the algebra of trigonometric polynomials
Yes, this is simple... However you should have some experience in algebraic groups to feel free in this field. Can you recommend a textbook for reading and references?
Jul
18
accepted Tangent vectors on the algebra of trigonometric polynomials
Jul
18
comment Tangent vectors on the algebra of trigonometric polynomials
Ah, OK! Thank you anyway!
Jul
18
comment Tangent vectors on the algebra of trigonometric polynomials
Aakumadula, could you give a reference, please?
Jul
18
comment Tangent vectors on the algebra of trigonometric polynomials
Peter, I am not sure I understood. Are you saying that the problem appears only for non-compact $G$, or for all $G$?
Jul
18
revised Tangent vectors on the algebra of trigonometric polynomials
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Jul
18
comment Tangent vectors on the algebra of trigonometric polynomials
Mariano, I have made the corrections, now ${\sf Trig}(G)$ is defined.
Jul
18
revised Tangent vectors on the algebra of trigonometric polynomials
added 335 characters in body
Jul
18
asked Tangent vectors on the algebra of trigonometric polynomials