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Given a topological space $X$, and a cover $mathcal{U} :=cup_{alpha in I}U_{alpha}$ of $X$, one can define a groupoid called Čech groupoid $C(mathcal{U})$ of...
Asked on 01/19/2021 by Adittya Chaudhuri
1 answerLet $f:Xto Y$ be a map of Deligne-Mumford stacks. Let's say that the map $f$ is a geometric equivalence if the induced map on small étale topoi...
Asked on 01/17/2021 by Harry Gindi
0 answerGiven $K_n$ with weighted edges, we can fix an edge $e_{AB}$, iterate over all non-adjacent edges $e_{CD}in Esetminus e_{AD}$ and record how often $e_{AB}$ was in...
Asked on 01/17/2021 by Manfred Weis
0 answerFor each $ m ge 1$, let $X_m$ and $Y_m$ be two non-negative iid random variables with the same distribution. (The distributions of $X_m$ may change...
Asked on 01/16/2021 by Learning math
1 answerI search for a big list of open problems which have been solved in a PhD thesis by the Author of the thesis (or with collaboration of her/his supervisor)....
Asked on 01/16/2021
18 answerLet $mathcal{L}(mathbb{C}^{n times n})$ denote the algebra of all linear mappings from $mathbb{C}^{n times n}$ to $mathbb{C}^{n times n}$ and let $mathcal{C} subseteq mathcal{L}(mathbb{C}^{n times n})$...
Asked on 01/16/2021 by Jochen Glueck
3 answerConsider the following paper by Van Daele en Maes Notes on compact quantum groups. For convenience of the reader, here is a picture of the relevant section:...
Asked on 01/15/2021
1 answerI've become interested in 3-manifolds with the following property (called 'Property A'): let $c_{i}$ be a set of $g$ curves on a genus $g$ surface $Sigma$...
Asked on 01/15/2021 by no_idea
1 answerThe history of mathematics over the last 200 years has many occasions when the fundamental assumptions of an area have been shown to be flawed, or even wrong. Yet I...
Asked on 01/14/2021 by Edmund Harriss
10 answerLet $n=am+1$ where $a $ and $m>1$ are positive integers and let $p$ be the least prime divisor of $m$. Prove that if $a<p$...
Asked on 01/13/2021 by David Jones
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