Tootfinder

An Adaptation of the Vietoris Topology for Ordered Compact Sets
Christopher Caruvana, Jared Holshouser
https://arxiv.org/abs/2507.17936 https://arxiv.org/p…

An Adaptation of the Vietoris Topology for Ordered Compact Sets
We introduce a natural topology on powers of a space that is inspired by the Vietoris topology on compact subsets. We then place this topology in context with other product topologies; specifically, we compare this topology with the Tychonoff product, the box product, and Bell's uniform box topology. We identify a variety of topological properties for the specific case when the ground space is discrete. When the ground space is the Euclidean real line, we show that the resulting power is not Li…

The magnetic and spin-down properties of slowly rotating fully convective M dwarfs
Victor See, Louis Amard, Stefano Bellotti, Sudeshna Boro Saikia, Emma L. Brown, Jean-Francois Donati, Rim Fares, Adam J. Finley, Colin P. Folsom, \'Elodie M. H\'ebrard, Moira M. Jardine, Sandra V. Jeffers, Baptiste Klein, Lisa T. Lehmann, Stephen C. Marsden, Sean P. Matt, Matthew W. Mengel, Julien Morin, Pascal Petit, Katelyn Smith, Aline A. Vidotto, Ian A. Waite

The magnetic and spin-down properties of slowly rotating fully convective M dwarfs
The evolution of the magnetism, winds and rotation of low-mass stars are all linked. One of the most common ways to probe the magnetic properties of low-mass stars is with the Zeeman-Doppler imaging (ZDI) technique. The magnetic properties of partially convective stars has been relatively well explored with the ZDI technique, but the same is not true of fully convective stars. In this work, we analyse a sample of stars that have been mapped with ZDI. Notably, this sample contains a number of sl…

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When close the start dooring, do please not block them with a jar, but rather with a hand. Damages elevator; the.
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Remainder:
When close the start dooring, do please not block them with a jar, but rather with a hand. Damages elevator; the.
Loading. When please have someone fully open half, hopefully with or with a full hand, belly button. Elevator.
*Thank-you? You.*

Jerry Jones throws shade at Buffalo Bills' Super Bowl drought https://www.usatoday.com/story/sports/nfl/cowboys/2025/08/21/cowboys-owner-jerry-jones-bills-title-drought/85757803007/

Convergence and Robustness Bounds for Distributed Asynchronous Shortest-Path
Jared Miller, Mattia Bianchi, Florian D\"orfler
https://arxiv.org/abs/2507.07263

Convergence and Robustness Bounds for Distributed Asynchronous Shortest-Path
This work analyzes convergence times and robustness bounds for asynchronous distributed shortest-path computation. We focus on the Adaptive Bellman--Ford algorithm, a self-stabilizing method in which each agent updates its shortest-path estimate based only on the estimates of its neighbors and forgetting its previous estimate. In the asynchronous framework considered in this paper, agents are allowed to idle or encounter race conditions during their execution of the Adaptive Bellman--Ford algor…