Bountied questions
8 questions with bounties
3
votes
0
answers
161
views
+50
Show that at every equilibrium in the given sequential game, the first player weakly prefers his bundle to everyone else's
Suppose we have a set $N$ of $n$ players and a set $M$ of $m$ items. We are given a matrix $P_{n \times m}$ whose element $p_{ij} \geq 0$ $(i \in N, m \in M)$ denotes the valuation of good $j$ by ...
4
votes
0
answers
104
views
+50
Set theoretic interpretation of graphs for sheaves on graphs and their global sections
In what follows, all sets are assumed to be finite. Extensions are maybe possible, but for now, lets discuss the finite case.
I encountered a problem in my research which motivated me to look into ...
- 161
-1
votes
1
answer
272
views
+50
In search for certain simple $C^*$ algebra by motivations from "Space Filling Curve"
Edited: After the answer by David Gao I would like to put the term "Without non trivial Idempotent" in a parenthesis. I add some comment-questions after his answer.
Is there ...
- 616
16
votes
1
answer
727
views
+200
Does $\mathrm{Ext}^1(M,M) \neq 0$ imply $\mathrm{Ext}^2(M,M) \neq 0$?
$\DeclareMathOperator{\Ext}{\operatorname{Ext}}$The first question is about group algebras:
Question 1: Let $A=kG$ be a group algebra (with $G$ finite) and let $M$ be an indecomposable $A$-module. ...
- 26.9k
5
votes
1
answer
205
views
+100
Condition under a function is uniquely identifiable by the supremum values
Let $f(x),g(x)$ be two real-valued functions on $\mathbb{R}$ and $h(x,y)$ be a real-valued function on the plane. We can assume continuity (maybe piecewise differentiability also) of these functions. ...
- 181
1
vote
0
answers
56
views
+50
Is the BKS pairing non–degenerate?
On page 108 of https://math.berkeley.edu/~alanw/GofQ.pdf, it is claimed that the BKS pairing for the Hilbert spaces of polarized sections of two transverse Lagrangian polarizations is non–degenerate, ...
- 1,177
5
votes
0
answers
100
views
+100
Gromov-Hausdorff distance between the leaves of a foliation
Consider a product manifold $N^{d+1}=\mathbb{R}\times M^d$ of class $C^{\infty}$ endowed with a Riemannian metric $g_N$. We assume $M$ to be compact without boundary. On each slice $\{t\}\times M$, ...
- 425
2
votes
1
answer
120
views
+50
Extend the monotonicity of $W^2(\mu_{\alpha},\nu_{\alpha})$ from the Dirac case to finite mixtures
I'm having trouble completing a proof and would appreciate your insight. I’d like to share what I’ve done so far and hope you can help me move forward.
My current result: Suppose that $\widehat{P} = \...
- 149