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Ukrainian Mathematical Journal

, Volume 49, Issue 11, pp 1763–1767 | Cite as

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

  • E. A. Polulyakh
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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.

Keywords

Fiber Bundle Total Space Simple Closed Curve Regular Neighborhood Injective Continuous Mapping 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    J. L. Kelley, General Topology, Van Nostrand, Princeton, New Jersey (1957).Google Scholar
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    V. V. Nemytskii, “Topological questions of the theory of dynamical systems,” Usp. Mat. Nauk, 4 Issue 6, 90–153 (1949).Google Scholar
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    C. P. Rourke and B. J. Sanderson, Introduction to Piecewise Linear Topology, Springer-Verlag, Berlin-Heidelberg-New York (1972).MATHGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • E. A. Polulyakh

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