Tootfinder

Well, the weather forecast now includes "possible wildfires." If you go out in those wildfires, drink a lot of water and don't forget your bowler hat ->
Адска жега днес - Новини СЕГА
https://www.segabg.com/hot/category-bulgaria/adska-zhega-dnes…

Адска жега днес - Новини СЕГА
Пикът на горещата вълна от последните няколко дни се очаква да бъде днес. Червен код е издаден за областите Видин, Монтана, Враца, Плевен, Ловеч, Велико Търново, Русе, Ямбол, Хасково, Стара Загора, Пловдив, Благоевград. Там температурите ще прехвърлят 41 градуса.

🇺🇦 #NowPlaying on KEXP's #VarietyMix
City Girls:
🎵 Good Love
#CityGirls
https://jayenvy.bandcamp.com/track/usher-city-girls-good-love-jay-envys-freak-it-edit
https://open.spotify.com/track/52JFc40b28XJDROR3c4uAr

Maybe it wasn’t as fresh as the original #Connections, but I thought Connectin’ 2: Electric Boogaloo had some fly categories.
#Connections749
🟦🟦🟦🟦
🟪🟪🟪🟪
🟩🟩🟩🟩
🟨🟨🟨🟨

Equivalence via surjections
Tom Leinster
https://arxiv.org/abs/2508.20555 https://arxiv.org/pdf/2508.20555

Equivalence via surjections
Many types of categorical structure obey the following principle: the natural notion of equivalence is generated, as an equivalence relation, by identifying $A$ with $B$ when there exists a strictly structure-preserving map $A \to B$ that is genuinely (not just essentially) surjective in each dimension and faithful in the top dimension. We prove this principle for four types of structure: categories, monoidal categories, bicategories and double categories. The last of these theorems suggests th…

Not sure I agree with the supposed difficulties in today’s #Connections. I did appreciate some fun and inventive categories, though!
#Connections748
🟩🟩🟩🟩
🟪🟪🟪🟪
🟦🟦🟦🟦
🟨🟨🟨🟨