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Title: Some global properties of singularities
Author: Hayden, John
ISNI:       0000 0001 3548 0831
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1980
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We use the techniques of algebraic topology to study singularities. We first generalise the Thom polynomial theorem to apply to parametrised maps. We then give a detailed study of the singularities of parametrised real valued functions, with applications to the extension of locally stable maps and Lagrangian inmersions. Secondly we use the geometric interpretation of the cohomology theory associated to the Thom spectrum M3 given by Quillen, to represent a given singularity set by a cobordism class. We prove a theorem analogous to the Thom polynomial theorem valid for unoriented cobordism theory.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics