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 Oct 1 comment normal form of currents? [I made typo: of course I meant $p\in M$, not $x$] Oct 1 comment normal form of currents? Let $\zeta_0$ be a $k$-vector at $x\in M$. Can the current $\delta_{p,\zeta}: \omega \mapsto \langle \omega |_p \, ,\,\zeta_0 \rangle$ be realized as you claim? Or is it a weak limit of the currents in your question? Oct 1 comment normal form of currents? Could you explain what you mean by "currents obtained by contraction of a $k$-vector with the test form"? If $\omega$ is a $k$-form and $\zeta$ a $k$-vector, $\langle \omega, \zeta \rangle$ is a smooth function. Maybe you want to fix a volume form $v$ and take the integral $\int_M \langle \omega, \zeta \rangle v$ ? Sep 29 revised Do semialgebraic sets depend outer semicontinuously on their defining polynomials? deleted 1 character in body Sep 23 comment Non-realizability of $\mathbb{Q}$ as a cohomology group Universal Coefficient Theorem? Sep 21 comment What does taking the graded algebra do to the Grothendieck group, and its relation to the Chow ring? Why is the class $\log [L]$ well defined in $K(X)$? Does the series defining it stop at some point? Sep 15 awarded Nice Question Sep 14 comment Why do some people adamantly insist on 'toposes' instead of 'topoi'? @BenCrowell: yes, I was thinking of the American pronunciation - I wasn't aware that the British one was different Sep 14 comment Why do some people adamantly insist on 'toposes' instead of 'topoi'? Why (almost) all mathematicians adamantly insist with using the anglicized names of some Greek letters (e.g. "mu", "nu")? Why they adamantly insist in pronuncing the Greek letter $\xi$ as /ˈsaɪ/? Why (almost) all mathematicians adamantly insist in (quite ridiculously!) pronouncing Latin words (e.g. "moduli", "vice versa", ...) according to English pronounciacion rules? Maybe it's just because English, as any other living language, absorbs words from other cultures and languages. And English happens to be the present international language of science. So... Sep 9 revised Special rational numbers that appear as answers to natural questions (since it's Community Wiki, I took the liberty to change the word "exotic" to the more mundane "special". Maybe I'm wrong but I would use "exotic" for something that is "exotic" with respect to a well defined specific property or list) Sep 9 comment de Rham vs Dolbeault Cohomology I believe I've seen the term "holomorphic de Rham" used for the hypercohomology of the holomorphic de Rham complex. But in the Stein case it's the same due to vanishing of positive cohomology of analytic coherent sheaves, right? Sep 7 awarded Popular Question Sep 5 comment A problem of potential theory arising in biology @A.E.: oh I see, thanks Sep 5 comment A problem of potential theory arising in biology I was convinced that animals group together because so they form a body with the same volume and lesser surface area, and heat dispertion is somehow proportional to the area of the interface between "body" and "environment"... Aug 22 revised Differential geometry without the Hausdorff condition or the second axiom of countability edited title Aug 17 answered A symbol to denote the set of prime numbers ? Aug 17 awarded Famous Question Aug 14 revised Number of elements in the set $\{1,\cdots,n\}\cdot\{1,\cdots,n\}$ edited title Aug 2 awarded Good Question Jul 24 awarded Benefactor