On a theorem of Gromov and Milman
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- by Tadeusz Januszkiewicz PDF
- Proc. Amer. Math. Soc. 94 (1985), 477-478 Request permission
Abstract:
We give simple examples of topologically trivial bundles which admit no uniformly continuous section.References
- Shiing-shen Chern, A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds, Ann. of Math. (2) 45 (1944), 747–752. MR 11027, DOI 10.2307/1969302
- M. Gromov and V. D. Milman, A topological application of the isoperimetric inequality, Amer. J. Math. 105 (1983), no. 4, 843–854. MR 708367, DOI 10.2307/2374298
- Tadeusz Januszkiewicz, Characteristic invariants of noncompact Riemannian manifolds, Topology 23 (1984), no. 3, 289–301. MR 770565, DOI 10.1016/0040-9383(84)90012-0
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 94 (1985), 477-478
- MSC: Primary 57R20; Secondary 53C20, 55R25
- DOI: https://doi.org/10.1090/S0002-9939-1985-0787898-4
- MathSciNet review: 787898