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Title: Accessibility and singular foliations
Author: Stefan, Peter
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1973
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics