On a fiber bundle over a disk with the cantor set as a fiber
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.
English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 11, pp 1763-1767.
Citation Example: Polulyakh E. O. On a fiber bundle over a disk with the cantor set as a fiber // Ukr. Mat. Zh. - 1997. - 49, № 11. - pp. 1567–1571.