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Take any field $k$. Is there a construction of the Eilenberg-MacLane space $K(Gal(bar{k}/k), 1)$ as a CW complex in terms of $k$?...
Asked on 12/05/2021 by jog
0 answerIt is often mentioned the main use of forcing is to prove independence facts, but it also seems a way to prove theorems. For instance how would one try to...
Asked on 12/03/2021
9 answerGiven two normal matrices $A,Bin M_n({mathbb C})$whose respective spectra are $(alpha_{1},ldots,alpha_{n})$ and$(beta_{1},ldots,beta_{n})$, is it true that $det(A+B)$ belongs tothe convex hull of the set of numbers$$prod_{i=1}^n(alpha_i+beta_{sigma(i)}),$$...
Asked on 12/03/2021 by Denis Serre
1 answerMathematically the definitions are as follows : if $H_n$ is a $n$-dimensional complex Hilbert space then its two different corresponding ``Fock space"(s) are often denoted as $F_{1}$...
Asked on 12/03/2021 by gradstudent
2 answerFor $ninBbb{N}$, define three matrices $A_n(x,y), B_n$ and $M_n$ as follows: (a) the $ntimes n$ tridiagonal matrix $A_n(x,y)$ with main diagonal all $y$'s, superdiagonal all $x$'s and subdiagonal all $-x$'s....
Asked on 12/03/2021 by T. Amdeberhan
1 answerThis came about when I was studying the connection between matroids and stronggreedoids, but it has broken through into a subject I am not particularlyfamiliar with: submodular functions...
Asked on 12/03/2021 by darij grinberg
1 answerLet $(M,g)$ be a closed (compact, no boundary) smooth $n$-dimensional Riemannian manifold. The Laplace–Beltrami operator $Delta_g$ on $M$ has discrete spectrum $(lambda_j)_j$ (indexed without multiplicity)...
Asked on 12/03/2021 by AlephBeth
0 answerI'm studying this classical paper in nonlinear dynamics in biophysics and I want to understand it properly. I'm stuck at this two-variable problem which I've struggled with for too long...
Asked on 12/03/2021 by Norregaard
1 answerThere is no Lebesgue measure in infinite dimensions—this slogan is familiar to every student interested in analysis. One possible, precise statement of this result may be as follows: if ...
Asked on 12/03/2021
0 answerSuppose for some reason one would be expecting a formula of the kind $$mathop{text{ch}}(f_!mathcal F) = f_*(mathop{text{ch}}(mathcal F)cdot t_f)$$ valid in $H^*(Y)$ where$f:Xto Y$ is a proper morphism with...
Asked on 12/01/2021 by Ilya Nikokoshev
4 answerGet help from others!
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