Comment on Het!
kogasa@programming.dev 3 weeks agoIt’s interesting because it’s highly counter-intuitive that such a thing is possible. It’s not supposed to be useful except as an example of a false intuition, which can remind us to be careful in our reasoning.
captain_aggravated@sh.itjust.works 3 weeks ago
“Such a thing is possible” It kind of isn’t though? It’s a sphere that can pass through itself but not be sharply creased…how are these rules not just made up?
kogasa@programming.dev 3 weeks ago
Specifically, the thing that exists is a regular homotopy of immersions from the standard embedding to its opposite. The “rules” aren’t supposed to be self evident, they’re part of a broader context in topology
captain_aggravated@sh.itjust.works 3 weeks ago
“Our society has enabled people to go to college for too long without actually contributing anything.”
kogasa@programming.dev 3 weeks ago
Yeah, basic graduate level math is a lot more useful than whatever you do with your life to warrant such an attitude.
someacnt_@lemmy.world 3 weeks ago
Hmm, standard embedding to which dimension
kogasa@programming.dev 3 weeks ago
R^(3) specifically