crosscap slide
The crosscap slide^{} is an autohomeomorphism which can be defined only for non orientable surfaces whose genus is greater than one.
It is also known as the yhomeomorphism. 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 the homeotopy group of a nonorientable surface, Proc. Camb. Phil. Soc. 65(1969), 409430.

2.
M. Korkmaz. Mapping Class Groups of Nonorientable Surfaces, Geometriae Dedicata 89 (2002), 109133.

3.
W.B.R. Lickorish. Homeomorphisms of nonorientable twomanifolds, Math. Proc. Camb. Phil. Soc. 59 (1963), 307317.
Title  crosscap slide 

Canonical name  CrosscapSlide 
Date of creation  20130322 15:42:23 
Last modified on  20130322 15:42:23 
Owner  juanman (12619) 
Last modified by  juanman (12619) 
Numerical id  5 
Author  juanman (12619) 
Entry type  Definition 
Classification  msc 54C10 
Synonym  yhomeomorphism 
Related topic  homeomorphism 
Related topic  YHomeomorphism2 
Related topic  Homeomorphism 