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

• Date: 1997
• Main Authors: Polulyakh, E. O., Полулях, Е. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5158
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.