1. Local section of Serre fibrations with 3-manifold fibers
- Author
-
Brodsky, N., Chigogidze, A., and Shchepin, E. V.
- Subjects
Mathematics - Geometric Topology ,Mathematics - General Topology ,57N05, 57N10, 54C65 - Abstract
It was proved by H. Whitney in 1933 that a Serre fibration of compact metric spaces admits a global section provided every fiber is homeomorphic to the unit interval [0,1]. An extension of the Whitney's theorem to the case when all fibers are homeomorphic to some fixed compact two-dimensional manifold was proved by the authors \cite{BCS}. The main result of this paper proves the existence of local sections in a Serre fibration with all fibers homeomorphic to some fixed compact three-dimensional manifold., Comment: Submitted to Topolofy and its Applications
- Published
- 2009