Local sections of Serre fibrations with 2-manifold fibers

Brodsky, N.; Chigogidze, A.; Shchepin, E. V.

Local sections of Serre fibrations with 2-manifold fibers

Authors

Brodsky, N.

Chigogidze, A.

Shchepin, E. V.

Description

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.