%0 Journal Article
%T Local sections of Serre fibrations with 2-manifold fibers
%A N. Brodsky
%A A. Chigogidze
%A E. V. Shchepin
%J Mathematics
%D 2009
%I arXiv
%X 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]. Results of this paper extend Whitney theorem to the case when all fibers are homeomorphic to a given compact two-dimensional manifold.
%U http://arxiv.org/abs/0902.3312v1