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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

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


Author: Robert Cauty
Journal: Trans. Amer. Math. Soc. 338 (1993), 599-614
MSC: Primary 57N20; Secondary 54C35, 58D15
MathSciNet review: 1172295
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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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DOI: http://dx.doi.org/10.1090/S0002-9947-1993-1172295-1
PII: S 0002-9947(1993)1172295-1
Article copyright: © Copyright 1993 American Mathematical Society