L’espace des plongements d’un arc dans une surface

Cauty, Robert

doi:10.1090/S0002-9947-1993-1172295-1

L’espace des plongements d’un arc dans une surface
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by Robert Cauty PDF

Trans. Amer. Math. Soc. 338 (1993), 599-614 Request permission

Abstract:

We prove that the space of embeddings of an arc into a surface without boundary $M$ is homeomorphic to the product $U(M) \times {l^2}$, where $U(M)$ is the unit tangent bundle of $M$.

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