Reed Mullanix

Fibration Fanboy

[Reed Mullanix @totbwf]

@TaliaRinger This is a fun one: follows nicely from the fact that h-levels are closed under retractions, along with the fact that pointwise equality is a proposition:

https://t.co/zL3mrDeAiw

[Reed Mullanix @totbwf]

@plt_amy @jkachmar In this paper we introduce the synthetic theory of a multi-level topos, which we call "Homeopathic Type Theory"

[Reed Mullanix @totbwf]

@ttforall @codydroux Its the yoneda lemma (though shouldn't that be Nat(Hom(a type, _), _)?)

[Reed Mullanix @totbwf]

@jonmsterling @TaliaRinger On top of having to deal with scoping!

[Reed Mullanix @totbwf]

@jonmsterling @TaliaRinger Yeah, it's pretty arcane... You have to be *very* careful about what you let reduce, and program with the mindset that anything could be a meta lol

[Reed Mullanix @totbwf]

@abomnblejoeman There's a really cool one for realizability topoi: https://t.co/Nf4oQBqtUv

[Reed Mullanix @totbwf]

@jjcarett2 Yeah, that sounds great!

[Reed Mullanix @totbwf]

Just landed in Boston, it’s POPLin time

[Reed Mullanix @totbwf]

@sarah_zrf “Getting a lot of questions answered by my shirt” etc etc

[Reed Mullanix @totbwf]

@sarah_zrf You had that shirt made??? That rules lmao

[Reed Mullanix @totbwf]

@sarah_zrf Hell yeah

[Reed Mullanix @totbwf]

@ProfMaxNew We don't want JS to be the kind of language where the most empowered person in the discord chat is a domain theorist.

[Carlo Angiuli @carloangiuli]

I'd love to survey big-name FPers / inventors of FP-concepts about their (self-described) level of category theory knowledge. I think there's a huge gap between outsiders' vs self-perception on this one.

[Reed Mullanix @totbwf]

@jjcarett2 IMO the appendix should be required reading for anyone interested in category theory

[Reed Mullanix @totbwf]

@jjcarett2 It's an amazing paper! Shocking to think it's about to have it's 40th birthday.

[Jacques Carette @jjcarett2]

Just finished reading Bénabou's "Fibered Categories and the foundations of naive category theory". Wow, so perceptive and modern in its concerns (foreshadowing of lots stuff clarified by HoTT). Also quite sassy in places. Thanks to @totbwf for bringing this to my attention!

[Reed Mullanix @totbwf]

@EricBond10 Primantis makes a killer sandwich, and Chengdu Gourmet is a great Szechuan place

[David Jaz Myers @myers_jaz]

I’m catching up on the virtual double categories workshop (https://t.co/kMwk0NSHPw) because the talks are a bit late in my time zone. What a gem: Mattew di Meglio tells us that cofunctors between topological spaces are open maps!

[Reed Mullanix @totbwf]

@uberwensch_ @littmath The categorical POV is that we define operations like union/intersection/complement on *subobjects* of some fixed X, rather than on objects themselves. It's a bit funky at first, but lines up nicely when we look at the classifying maps for subobjects.