ON THE HOMEOTOPY GROUP OF THE NON ORIENTABLE SURFACE OF GENUS THREE
In this note we prove that, if N3 = P#P#P, where P := RP², then the canonical homomorphism from Diff(N3) onto the homeotopy group Mod(N3) has a section. To do this we first prove that Mod(N3) = GL(2; Z).
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| Autores principales: | , |
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| Formato: | Digital revista |
| Idioma: | English |
| Publicado: |
Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas
2006
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| Acceso en línea: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262006000200001 |
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| Sumario: | In this note we prove that, if N3 = P#P#P, where P := RP², then the canonical homomorphism from Diff(N3) onto the homeotopy group Mod(N3) has a section. To do this we first prove that Mod(N3) = GL(2; Z). |
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