Mathematics – Geometric Topology
Scientific paper
2012-03-19
Mathematics
Geometric Topology
15 pages, 6 Figures. The paper was shortened and reorganized
Scientific paper
Let $N$ be a compact, connected, nonorientable surface of genus $g$ with $n$
boundary components, and $\mathcal{C}(N)$ be the complex of curves of $N$.
Suppose that $g + n \leq 3$ or $g + n \geq 5$. If $\lambda : \mathcal{C}(N)
\rightarrow \mathcal{C}(N)$ is an injective simplicial map, then $\lambda$ is
induced by a homeomorphism of $N$.
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