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Hurricane Melissa hit Jamaica as category 5 storm
It dropped to a category 4 cyclone as it exited the island
https://www.theguardian.com/world/live/2025/oct/28/hurricane-melissa-live-u…

A functorial approach to $0$-abelian categories
Vitor Gulisz
https://arxiv.org/abs/2509.24810 https://arxiv.org/pdf/2509.24810

A functorial approach to $0$-abelian categories
We use functorial methods to define and study $0$-abelian categories, which we propose to be the case $n = 0$ of Jasso's $n$-abelian categories. In particular, we define a bifunctor for $0$-abelian categories with enough injectives or projectives, which is analogous to the extension bifunctor for an abelian category. We prove a few results concerning this bifunctor, including $0$-abelian versions of the long exact sequence involving the extension bifunctors, of a conjecture due to Auslander on …

Hurricane #Melissa is the third Category 5 storm of the 2025 Atlantic season. This is only the second time that's ever happened.

Hurricane Melissa Makes 2025 Only Second Season with More Than Two Category 5 Storms
This is only the second time we’ve had more than two Category 5 storms in a single Atlantic hurricane season

Thermal Imaging Survey: DIY vs Professional - Learn how a thermal imaging survey can spot real problems. What does it cost? Is a trained operator useful? #thermalImaging #cutCarbon -

Thermal Imaging Survey: DIY vs Professional
Learn how a thermal imaging survey can spot real problems. What does it cost? Is a trained operator useful? #thermalImaging #cutCarbon

Homogeneous Linear Orderings: Index sets, Approximations and Categoricity
Wesley Calvert, Douglas Cenzer, David Gonzalez, Valentina Harizanov, Keng Meng Ng
https://arxiv.org/abs/2509.25005

Homogeneous Linear Orderings: Index sets, Approximations and Categoricity
We study linear orderings expanded by functions for successor and predecessor. In particular, the sp-homogeneous and weakly sp-homogeneous linear orderings are those which are homogeneous or weakly homogeneous with this additional structure. We demonstrate that these orderings are always relatively $Δ_4$ categorical and determine exactly which ones are (uniformly) relatively $Δ_3$ categorical. We also provide a classification for sp-homogeneity and weak sp-homogeneity. We establish that thi…

Double categorical equivalences
Lyne Moser, Maru Sarazola, Paula Verdugo
https://arxiv.org/abs/2509.23181 https://arxiv.org/pdf/2509.23181

Double categorical equivalences
We present an efficient and user-friendly method for constructing any cofibrantly generated model structure on the category of double categories whose trivial fibrations are the "canonical" ones: the double functors which are surjective on objects, full on both horizontal and vertical morphisms, and fully faithful on squares. We show that all of these model structures are left proper and that they are localizations of the gregarious model structure introduced by Campbell. As a notable consequen…

Star Catcher beamt Energie mit Rekordleistung
Star Catcher will Satelliten im All drahtlos mit Energie versorgen. Das Unternehmen hat die optische Energieübertragung demonstriert und die DARPA übertroffen.
https://www.…

Weight modules and gluing of sheaves on the flag variety
Pablo Boixeda Alvarez, Calder Morton-Ferguson
https://arxiv.org/abs/2509.25156 https://arxiv.org/p…

Weight modules and gluing of sheaves on the flag variety
We study a natural enlargement of the BGG Category O for a semisimple Lie algebra: the category of weight modules with trivial central character and finite-dimensional weight spaces supported on the root lattice. We give a geometric realization of this category as unipotently monodromic sheaves on the flag variety satisfying a singular support condition. We then explain that a derived version $\mathcal{D}$ of this category is Koszul dual to the Kazhdan-Laumon Category O, a different enlargement…

Vent-Axia Lo-Carbon Tempra single-room MHRV: Review - Learn how our Tempra MHRV helps keep humidity down in the kitchen and the air fresh, even when drying laundry in winter. #frugal #cutCarbon -

Vent-Axia Lo-Carbon Tempra single-room MHRV: Review
Learn how our Tempra MHRV helps keep humidity down in the kitchen and the air fresh, even when drying laundry in winter. #frugal #cutCarbon

According to the U.S. Food and Drug Administration records,
in an average year over 2,500 medical device recalls are issued in the United States.
Some of these recalls simply require checking the device for problems, but others require the return or destruction of the device.
Once identified, the FDA categorizes the root cause of these recalls into 40 categories,
plus a catchall of “other”:
situations that include labeling mix-ups, problems with expiration dat…

FDA Data Reveals Medical Device Recalls Software Woes
Thousands of medical device recalls are issued every year, and software is one of the leading causes.