Tootfinder

A late addition to stroke awareness month (May).
From my article: #health #stroke

This https://arxiv.org/abs/2003.11202 has been replaced.
link: https://scholar.google.com/scholar?q=a

Set System Blowups
We prove that given a constant $k \ge 2$ and a large set system $\mathcal{F}$ of sets of size at most $w$, a typical $k$-tuple of sets $(S_1, \cdots, S_k)$ from $\mathcal{F}$ can be ``blown up" in the following sense: for each $1 \le i \le k$, we can find a large subfamily $\mathcal{F}_i$ containing $S_i$ so that for $i \neq j$, if $T_i \in \mathcal{F}_i$ and $T_j \in \mathcal{F}_j$ , then $T_i \cap T_j=S_i \cap S_j$. We also show that the answer to the multicolor version of the sunflower conje…

Il est rare de trouver un auteur capable de restituer, en littérature, le sentiment que procure la photographie de rue. Il capture les rues, les bâtiments, les rencontres comme des archives persistantes qui se dévoilent devant nos yeux. Pourtant, il existe un auteur...
Continuer la lecture sur le Sillon https://

This https://arxiv.org/abs/2412.13319 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A Characterization of Borel Measures which Induce Lipschitz-Free Space Elements
We will solve a problem by Aliaga about Lipschitz-Free spaces (denoted by $\mathcal F(M)$): $$\text{Does every Borel measure $μ$ on a complete metric space $M$ such that $\int d(m,0) d |μ|(m)< \infty$ induce a weak$^*$ continuous functional $\mathcal Lμ\in \mathcal F(M)$ by the mapping $\mathcal Lμ(f)=\int f d μ$ ? }$$ In particular, we will show a characterization of the measures such that $\mathcal Lμ\in \mathcal F(M)$, which indeed implies inner-regularity for complete metric…

This https://arxiv.org/abs/2503.17319 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The algebraic internal groupoid model of Martin-Löf type theory
We extend the model structure on the category $\mathbf{Cat}(\mathcal{E})$ of internal categories studied by Everaert, Kieboom and Van der Linden to an algebraic model structure. Moreover, we show that it restricts to the category of internal groupoids. We show that in this case, the algebraic weak factorisation system that consists of the algebraic trivial cofibrations and algebraic fibrations forms a model of Martin-Löf type theory. Taking $\mathcal{E} = \mathbf{Set}$ and forgetting the algeb…

EU-Länder sollen mögliche Rückkehr von ukrainischen Geflüchteten vorbereiten
Die EU-Kommission empfiehlt den EU-Mitgliedsstaaten, eine mögliche Rückkehr von ukrainischen Geflüchteten vorzubereiten. Dazu sollten Ukrainerinnen und Ukrainern etwa sogenannte Erkundungsbesuche in ihrer Heimat ermöglicht werden und in Abstimmung mit ukrainischen Behörden Programme für eine freiwillige Rückkehr auf den Weg gebracht werden. Geflüchte…
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Ukraine-Liveblog: ++ Gefangenenaustausch steht bevor ++
Die Ukraine und Russland werden voraussichtlich am Wochenende erneut Kriegsgefangene austauschen. Verteidigungsminister Pistorius verspricht der Ukraine anhaltende Unterstützung des Westens, vor allem beim Ausbau der Flugabwehr.

“From Catalunya in the northeast to Andalusia in the southwest of Spain, she overcame local differences, building solidarity among anarcho-syndicalists whose strength really lay in local and regional councils. She had the capacity to speak to a crowd as if she were talking to friends in a café, and reached equally the male and female working class. A natural teacher, she understood and could explain how particular struggles fit into larger campaigns… she was one of those mythical organizers …

Universal property of framed $G$-disc algebras
Aleksandar Miladinovi\'c
https://arxiv.org/abs/2506.02699 https://arxiv.org/pdf/25…

Universal property of framed $G$-disc algebras
Given a compact Lie group $G$ and its finite subgroup $H$ we prove that the $\infty$-category of $G/H$-framed $G$-disc algebras taking values in a $G$-symmetric monoidal category $\underline{\mathcal{C}}^{\otimes}$ is equivalent to the $\infty$-category of $V$-framed $H$-disc algebras (where $V$ is an $H$-representation) which take values in $\underline{\mathcal{C}}^{\otimes}_H$, the underlying $H$-symmetric monoidal subcategory of $\underline{\mathcal{C}}^{\otimes}$. We will use this construct…

Decentralized COVID-19 Health System Leveraging Blockchain
Lingsheng Chen, Shipeng Ye, Xiaoqi Li
https://arxiv.org/abs/2506.02674 https://

Decentralized COVID-19 Health System Leveraging Blockchain
With the development of the Internet, the amount of data generated by the medical industry each year has grown exponentially. The Electronic Health Record (EHR) manages the electronic data generated during the user's treatment process. Typically, an EHR data manager belongs to a medical institution. This traditional centralized data management model has many unreasonable or inconvenient aspects, such as difficulties in data sharing, and it is hard to verify the authenticity and integrity of the…

#Blakes7 Series B, Episode 07 - Killer
BLAKE: Kemp, Wardin, Tober, missing in the constellation of 61 Cygnii, seven hundred years ago.
WILER: May I continue?
BELLFRIAR: Sorry.
[Mortuary]
https://blake.torpi…

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