Knotting Problems of 2-Spheres in 4-Sphere
Shinichi Suzuki · Institutional Repositories DataBase (IRDB) · 1976
x. 1 u • • • u .K.µ c::; ) or (x. 1 u • • • u .K.µ c R ), unless confusion.If two n-links er u • • • u If" c :fl+ 2 ) and ex': u • • • u If" c g1-+ 2 ) are of 1 µ 1 µ the same type, we denote ex': u • • • u If" c g1-+ 2 ) ;; (X: u • • • u If c :f'-+ 2 ) , and 1 µ 1 µ the same notation will be used for n-links in Rn+ 2 .We refer to pf u • • • u If" c g1-+ 2 ] and rx': u • • • u If" cRn+ 2 1 respective-1 µ 1 µ ' ly, as the link types of cx!1 u • • • u If c g1-+ 2 ) and ex': u • • • u If c Rn+ 2 ) . 1 µ 1 µ The notation is justified by the following, which follows from 1.17.µ Let l.: I ff: ➔ g1-+ 2 , j=l,2, be n-Zinks with 11 J i=1 1, 1.20.Proposition.components.If there exists an or>ientation pr>esewing homeomorphism cp: µ and cp I ..e.