An infinite family of manifolds with bounded total curvature
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- by A. N. Dranishnikov PDF
- Proc. Amer. Math. Soc. 128 (2000), 255-260 Request permission
Abstract:
The negative answer to the following problem of V. I. Arnold is given: Is the number of topologically different $k$-manifolds of bounded total curvature finite?References
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Additional Information
- A. N. Dranishnikov
- Affiliation: Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, Florida 32611-8105
- MR Author ID: 212177
- Email: dranish@math.ufl.edu
- Received by editor(s): December 26, 1992
- Received by editor(s) in revised form: March 24, 1998
- Published electronically: May 6, 1999
- Additional Notes: The author was partially supported by NSF grant DMS-9500875.
- Communicated by: James E. West
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 255-260
- MSC (1991): Primary 53C22; Secondary 53C42, 57C42
- DOI: https://doi.org/10.1090/S0002-9939-99-04958-8
- MathSciNet review: 1618658