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