L’espace des arcs d’une surface
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- by Robert Cauty PDF
- Trans. Amer. Math. Soc. 332 (1992), 193-209 Request permission
Abstract:
We prove that, for any surface $M$, the space of arcs contained in $M$, with the topology induced by the Hausdorff distance, is homeomorphic to $M \times {\sum }^\infty$, where $\sum = \{ ({x_i}) \in {l^2}/\sum \nolimits _{i = 1}^\infty {{{(i{x_i})}^2} < \infty \} }$.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 332 (1992), 193-209
- MSC: Primary 57N20; Secondary 54B20, 54F15, 57N05
- DOI: https://doi.org/10.1090/S0002-9947-1992-1044960-7
- MathSciNet review: 1044960