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On a fiber bundle over a disk with the cantor set as a fiber

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Abstract

We construct a Pontryagin fiber bundle ξ = (N, p, S 1), the total space N of which cannot be imbedded into any two-dimensional oriented manifold but can be imbedded into an arbitrary nonoriented two-dimensional manifold.

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References

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Authors
  1. E. A. Polulyakh
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 11, pp. 1567–1571, November, 1997.

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Polulyakh, E.A. On a fiber bundle over a disk with the cantor set as a fiber. Ukr Math J 49, 1763–1767 (1997). https://doi.org/10.1007/BF02487516

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  • DOI: https://doi.org/10.1007/BF02487516

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