Accession Number : ADA132544

Title :   Great Sphere Fibrations of Manifolds.

Descriptive Note : Doctoral thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH

Personal Author(s) : Petro,John

PDF Url : ADA132544

Report Date : Jan 1983

Pagination or Media Count : 123

Abstract : There are three questions that guide our study: (1) given two fibrations are they topologically equivalent, (2) is it possible to deform one fibration to another through a one parameter family of fibrations, and (3) what is the homotopy type of the space of all fibrations? We address these questions for great circle fibrations of odd dimensional round spheres and arbitrary great k-sphere fibrations.

Descriptors :   *Topology, Spheres, Circles, Theorems

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE