Borsuk-Ulamの定理とネックレス問題 ～トポロジーでパズルを解く～

This video is a translation and re-edit of a 3Blue1Brown video by a volunteer group at the University of Tokyo, and is released under an official license. Please subscribe and like our channel! *We were attempting to translate the text in this video, but the editing data was lost midway, so the video is in English from 9:30 onwards. (You should be able to understand the flow up to that point, though...) Also, the pace of the dubbing is a little stiff in some places, but this is due to the translation and we plan to improve it in the future (determining the time difference between sentences in different languages ​​is a difficult issue, so we are still experimenting). Original Channel (English)    / 3blue1brown   Proof by Alon and West (1986) https://www.tau.ac.il/~nogaa/PDFS/Pub... Borsuk-Ulam Theorem and bisection of necklaces.pdf Music by Vincent Rubinetti Download the music on Bandcamp: https://vincerubinetti.bandcamp.com/a... Stream the music on Spotify: https://open.spotify.com/album/1dVyjw...