W.B.R. Lickorish, Homeomorphisms of nonorientable two-manifolds, Math. Proc. Camb. Phil. Soc. 59 (1963), 307--317.  Home/Search   Document Not in Database   Summary   Related Articles

....is periodic if f n = id for some n. 2) f is reducible if f(C) C for some essential curve C of X . We call C a reducing curve of f . 3) If S(X) #= #, then f : X # X is an Anosov map if f : X # # X # is a pseudo Anosov map in the sense of Thurston, where X # = X S(X) Lemma 2.2. [Li], Lemma 5) Any homeomorphism f : K # K on a Klein bottle is isotopic to either the identity map or an involution. Proof. Lickorish [Li, Lemma 5] proved that H(K) # = Z 2 Z 2 , and gave the representatives of the isotopy classes. It is easily seen that each isotopy class contains an ....

....(3) If S(X) #= #, then f : X # X is an Anosov map if f : X # # X # is a pseudo Anosov map in the sense of Thurston, where X # = X S(X) Lemma 2.2. Li] Lemma 5) Any homeomorphism f : K # K on a Klein bottle is isotopic to either the identity map or an involution. Proof. Lickorish [Li, Lemma 5] proved that H(K) # = Z 2 Z 2 , and gave the representatives of the isotopy classes. It is easily seen that each isotopy class contains an involution. # If F is a surface, we use F (p 1 , p k ) to denote an orbifold with underlying surface F , and with cone points of order p 1 , ....

W.B.R. Lickorish, Homeomorphisms of nonorientable two-manifolds, Math. Proc. Camb. Phil. Soc. 59 (1963), 307--317.

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC