Tootfinder

Handy am Steuer? Zack, 100 Euro und ein Punkt in Flensburg. 💸 Rheinland-Pfalz will kontrolliert zukünftig noch konsequenter: Nach einer erfolgreichen Testphase soll die Polizei landesweit auf spezielle Handy-Blitzer setzen. 🚗📱
Zum Artikel: https://heise.de/-10673346

US FEC filings and public statements: a handful of crypto super PACs have amassed ~$263M ahead of the 2026 midterms; Fairshake remains the biggest at $141M (Bloomberg)
https://www.bloomberg.com/news/articles/2025-10-28/crypto…

Worth a follow and support. One of the handful of folks I followed over here from the old place. Fresh insight is in exceedingly short supply these days. @… https://mastodon.so…

No Hard Feelings
Ever wondered what your boyfriend or girlfriend is thinking?...
Great Australian Pods Podcast Directory: #GreatAusPods

London #FT reports on investors that lost billions on #PumpAndDump stock scheme that inflated values of little known traded entities of small US-listed #ChineseStocks that plunged in value shortly after being heavily

https://www.theverge.com/notepad-microsoft-newsletter/754647/microsoft-grok-4-roll-out-private-preview-notepad?utm_content=buffer2ce4c&…

Microsoft is cautiously onboarding Grok 4 following Hitler concerns
Microsoft is taking a careful approach with rolling out Grok 4 on Azure AI Foundry. It’s working on a private preview for a handful of customers.

Homotopy lifting, asymptotic homomorphisms, and traces
Tatiana Shulman
https://arxiv.org/abs/2508.00125 https://arxiv.org/pdf/2508.00125

Homotopy lifting, asymptotic homomorphisms, and traces
The following homotopy lifting theorem is proved: Let $ϕ, ψ: B \to D/I$ be homotopic $\ast$-homomorphisms and suppose $ψ$ lifts to a (discrete) asymptotic homomorphism. Then $ϕ$ lifts to a (discrete) asymptotic homomorphism. Moreover the whole homotopy lifts. We also prove a cp version of this theorem and a version where $ϕ$ is replaced by an asymptotic homomorphism. We obtain a lifting characterization of several important properties of C*-algebras and use them together with the lifting t…

On Topology of the Infinite-Dimensional Space of Fibrations
Ziqi Fang
https://arxiv.org/abs/2508.14038 https://arxiv.org/pdf/2508.14038

On Topology of the Infinite-Dimensional Space of Fibrations
This work serves as an opening and basis of an ongoing program investigating topological and geometric aspects of the moduli space of smooth fiberings on a manifold. The present paper focuses on the algebraic and differential topology of this space, and particularly addresses the following three quests in a top-down manner: the classification, for each class the path components, and for each component the homotopy type (as loosely analogous to the those three for studying the moduli of smooth s…

Photonic Shankar skyrmion
Haiwen Wang, Shanhui Fan
https://arxiv.org/abs/2508.11984 https://arxiv.org/pdf/2508.11984

Photonic Shankar skyrmion
We unveil a new topological quasiparticle of light in 3D space, named the photonic Shankar skyrmion. We show that an elliptically polarized field can be described by an SO(3) order parameter and it can form a texture in 3D space classified by the $π_3(SO(3))$ homotopy group, known as the Shankar skyrmion. We provide ways to construct the photonic Shankar skyrmion in static monochromatic waves and also in propagating wavepackets, the latter give rise to a flying topological quasiparticle. We de…

Already, the One Big Beautiful Bill Act places Trump and the Republicans at odds with their base and with swing voters.
According to a Wall Street Journal poll, 70% of the US believes the act benefits the rich.
Beyond that, the tax plan is underwater with the public, 42-52,
and is disfavored by a majority of independents.
Practically speaking, the Congressional Budget Office projected in June that nearly 8 million people would lose their insurance under the Trump-ba…