On a fiber bundle over a disk with the cantor set as a fiber
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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.
KeywordsFiber Bundle Total Space Simple Closed Curve Regular Neighborhood Injective Continuous Mapping
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