presented without comment https://ncatlab.org/nlab/show/Ass
#nLab #operads #realizability #LearnedHumour #CoolURIsDontChange
presented without comment https://ncatlab.org/nlab/show/Ass
#nLab #operads #realizability #LearnedHumour #CoolURIsDontChange
beware! evil search box vs. good search box
I had a conversation recently where I was asked how I learned about a mathematical topic. I was a bit embarrassed to say that I just checked some very basic definitions on Wikipedia/nLab and then developed the concepts I needed from there myself. This can be a bit of a humble brag, but I really do think this is often easier (for me, at this point) than trying to read a textbook and do all the exercises first.
It's really a shame that publishing practices discourage including much of the material produced by this process in published papers. I don't want to see every paper bloated with rehashed discussions of elementary results, but when a topic is sufficiently arcane there are often no succinct introductions at the desired level, since everyone has written their own and then never published it.
I've wanted something like this for a long time, and today I finally got around to figuring out stylus and making a (very simple) #DarkMode style for the #nLab. If you're one of the other people with this narrow intersection of interests, check it out!
https://userstyles.world/style/7543/nlab-dark-mode
I'm sure it can be improved :) I decided this is a case where something shoddy is still way better than nothing, so here we are.
I haven't seen *nearly* enough #CategoryTheory here, and almost nothing from the #nLab !! So here are some of my most-visited pages, according to my browser history.
https://ncatlab.org/nlab/show/Thomason+model+structure
(weak equivalences created by taking nerves)
https://ncatlab.org/nlab/show/multicategory
(morphisms can have n-ary source for n > 1)
https://ncatlab.org/nlab/show/simplicial+object
(combinatorial version of topological space)
https://ncatlab.org/nlab/show/Grothendieck+construction
(convert a general functor into a fibration of slice categories)