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crosscap slide
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(Definition)
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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 y-homeomorphism. This name was coined by Lickorish and the name crosscap slide was introduced by Korkmaz.
- D.R.J. Chillingworth. A finite set of generators for the homeotopy group of a non-orientable surface, Proc. Camb. Phil. Soc. 65(1969), 409-430.
- M. Korkmaz. Mapping Class Groups of Non-orientable Surfaces, Geometriae Dedicata 89 (2002), 109-133.
- W.B.R. Lickorish. Homeomorphisms of non-orientable two-manifolds, Math. Proc. Camb. Phil. Soc. 59 (1963), 307-317.
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"crosscap slide" is owned by juanman.
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(view preamble)
Cross-references: homeomorphisms, class, mapping, group, generators, finite set, genus, surfaces, orientable, autohomeomorphism
This is version 2 of crosscap slide, born on 2006-02-24, modified 2006-02-24.
Object id is 7651, canonical name is CrosscapSlide.
Accessed 1216 times total.
Classification:
| AMS MSC: | 54C10 (General topology :: Maps and general types of spaces defined by maps :: Special maps on topological spaces ) |
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Pending Errata and Addenda
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