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.
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 468, 2018, pp. 75–81.
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Mnëv, N.E. Which Circle Bundles Can Be Triangulated Over ∂Δ3?. J Math Sci 240, 551–555 (2019). https://doi.org/10.1007/s10958-019-04373-z
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DOI: https://doi.org/10.1007/s10958-019-04373-z