Stefan, Peter (1973) Accessibility and singular foliations. PhD thesis, University of Warwick.

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Abstract

In Part One we study the partition of a finite-dimensional manifold M into the accessible sets of an arbitrary system A of isotopy families of local diffeomorphisms of M and, in particular, into the accessible sets of an arbitrary system of differentiable vectorfields on M.

In Part Two we generalize the methods of Part One to study the integrability of singular distributions on infinite-dimensional manifolds.

In Part Three we return to finite-dimensional manifolds and use the results of Part One to study in detail the contrasting properties of integrability and irreducibility of systems of vectorfields on M.

Item Type:	Thesis (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Differentiable manifolds, Vector fields, Mathematics
Official Date:	1973
Dates:	Date Event 1973 Submitted
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Eells, James, 1926-2007
Extent:	97 leaves
Language:	eng

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