crosscap slide
The crosscap slide is an autohomeomorphism which can be defined only fornon orientable surfaces whose genus is greater than one.
It is also known as the y-homeomorphism. This name was coined by Lickorish and the name crosscap slide was introduced by Korkmaz.
- 1.
D.R.J. Chillingworth. A finite set
of generators
for thehomeotopy group of a non-orientable surface, Proc. Camb. Phil. Soc.65(1969), 409-430.
- 2.
M. Korkmaz. Mapping Class Groups of Non-orientable Surfaces, Geometriae Dedicata 89 (2002), 109-133.
- 3.
W.B.R. Lickorish. Homeomorphisms of non-orientable two-manifolds,Math. Proc. Camb. Phil. Soc. 59 (1963), 307-317.