crosscap slide

The crosscap slidePlanetmathPlanetmath is an autohomeomorphism which can be defined only for non 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. 1.

    D.R.J. Chillingworth. A finite setMathworldPlanetmath of generatorsPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath for the homeotopy group of a non-orientable surface, Proc. Camb. Phil. Soc. 65(1969), 409-430.

  2. 2.

    M. Korkmaz. Mapping Class Groups of Non-orientable Surfaces, Geometriae Dedicata 89 (2002), 109-133.

  3. 3.

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

Title crosscap slide
Canonical name CrosscapSlide
Date of creation 2013-03-22 15:42:23
Last modified on 2013-03-22 15:42:23
Owner juanman (12619)
Last modified by juanman (12619)
Numerical id 5
Author juanman (12619)
Entry type Definition
Classification msc 54C10
Synonym y-homeomorphism
Related topic homeomorphism
Related topic YHomeomorphism2
Related topic Homeomorphism