@themattsimpson @sarahdoingthing A category contains all the objects of a particular kind and all the functions between them.
-
-
@themattsimpson
@sarahdoingthing Functors turn questions about topology into questions about algebra, and so on. "The light's better here" -
@St_Rev @themattsimpson it seems like the hard part is showing you're on the "same river" as before -
@St_Rev @themattsimpson (once you complete the portage) -
@sarahdoingthing @themattsimpson Well, going one way is frequently easy, lifting back to the original problem not so much. -
@sarahdoingthing Here's an example: the idea of 'invariants'. Say you have two colossally tangled masses of string, and you want to know... -
@sarahdoingthing ...if they're the 'same knot', topologically. This is super hard! But there are things called knot invariants. -
@sarahdoingthing A knot invariant is a recipe for turning a horribly complicated object (a tangled ball of string) into a simple one... -
@St_Rev (actually familiar from knitting tragedies)
End of conversation
New conversation -
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.
. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.