An infinite family of manifolds with bounded total curvature

Dranishnikov, A.

doi:10.1090/S0002-9939-99-04958-8

An infinite family of manifolds with bounded total curvature
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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?

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