Topology Group work by Afiny Akdemir https://padlet.com/afiniakdemir/9ra91m5hvajyj3th Made with panache en-us 2021-05-27 15:59:07 UTC 2021-06-11 18:49:55 UTC hello@padlet.com Question 2 afiniakdemir https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1565675240 hello

]]> 2021-05-27 15:59:26 UTC https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1565675240 hello https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1586034328 2021-06-04 18:36:14 UTC https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1586034328 Hi https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1586034424 2021-06-04 18:36:16 UTC https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1586034424 Hello https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1586034538 2021-06-04 18:36:19 UTC https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1586034538 Please en https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1601725362 2021-06-11 18:35:06 UTC https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1601725362 https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1601735863 f]]> 2021-06-11 18:41:01 UTC https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1601735863 [(x,y,z)]={(x,y,z),(-x,-y,-z)}=f^{-1}(f(x,y,z)) https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1601737622 this proves that f^~ is injective]]> 2021-06-11 18:42:06 UTC https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1601737622 f(x,y,z) = ((x^2 - y^2)(2xy), 2xy(2 + xz), yz) = ((-x)^2 - (-y)^2)(2(-x)(-y)), 2(-x)(-y)(2+(-x)(-z)), (-y)(-z)) = f(-x,-y,-z), and (x,y,z),(-x,-y,-z) are in the same equivalence class, as opposite points wrt the cylinder \implies p(x,y,z) = p(-x,-y,-z) https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1601738138 2021-06-11 18:42:28 UTC https://padlet.com/afiniakdemir/9ra91m5hvajyj3th/wish/1601738138