Abstract

GONZALEZ-ACUNA, Francisco Javier  and  MARQUEZ-BOBADILLA, Juan Manuel. ON THE HOMEOTOPY GROUP OF THE NON ORIENTABLE SURFACE OF GENUS THREE. Rev.colomb.mat. [online]. 2006, vol.40, n.2, pp.75-79. ISSN 0034-7426.

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).

Keywords : Homeotopy group; non-orientable surface.

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