Which Circle Bundles Can Be Triangulated Over ∂Δ3?


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Abstract

We prove that having the boundary of the standard three-dimensional simplex ∂Δ3 as the base of a triangulation, one can triangulate only trivial and Hopf circle bundles.

About the authors

N. E. Mnëv

St. Petersburg Department of Steklov Institute of Mathematics and Chebyshev Laboratory of St. Petersburg State University

Author for correspondence.
Email: mnev@pdmi.ras.ru
Russian Federation, St. Petersburg

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