Turkish Journal of Mathematics
Abstract
We prove that each superinjective simplicial map of the complex of curves of a compact, connected, nonorientable surface is induced by a homeomorphism of the surface, if (g, n) \in {(1, 0), (1, 1), (2, 0), (2, 1), (3, 0)} or g + n \geq 5, where g is the genus of the surface and n is the number of the boundary components.
DOI
10.3906/mat-0912-66
Keywords
Mapping class groups, simplicial maps, nonorientable surfaces
First Page
407
Last Page
421
Recommended Citation
IRMAK, ELMAS
(2012)
"Superinjective simplicial maps of the complexes of curves on nonorientable surfaces,"
Turkish Journal of Mathematics: Vol. 36:
No.
3, Article 7.
https://doi.org/10.3906/mat-0912-66
Available at:
https://journals.tubitak.gov.tr/math/vol36/iss3/7
