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On the homeotopy group of the non orientable surface of genus three
Schlagworte:
Homeotopy group, Non-orientable surface, 2000 Mathematics Subject Classification, Primary: 57M60, Secondary: 20F38 (en)Downloads
Abstract. 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).
En esta nota probamos que, si N3 = P#P#P, donde P : = RP2, entonces el homomorfismo canónico de Diff (N3) sobre el grupo de homeotopía Mod(N3) tiene una sección. Para hacer esto, primero probamos que Mod(N3) = GL(2, Z).
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