Pastor, Jose Guillermo (1982) Bundle complexes and bordism of immersions. PhD thesis, University of Warwick.

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Abstract

The work of this thesis divides into two parts. The object of the first part is to show how configuration spaces may be regarded as classifying spaces for immersions in good position. This is done by introducing the notion of transverse bundle complex. The purpose of the second part is to compute the bordism groups of immersions of oriented n-manifolds into R^(n+k) for n-2<k<n to discuss the behaviour of double points in these dimensions and to study the forgetful homomorphism Ωn,k →Ωn that retains the oriented bordism class of a class of immersions for n-3<k<n.

Item Type:	Thesis (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Fiber bundles (Mathematics), Immersions (Mathematics), Configuration space, Classifying spaces, Cobordism theory
Official Date:	November 1982
Dates:	Date Event November 1982 Submitted
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Sanderson, B. J. (Brian Joseph), 1939-
Sponsors:	Universidad Nacional Autónoma de México ; Centro de Investigación y de Estudios Avanzados del I.P.N.
Format of File:	pdf
Extent:	110 leaves : illustrations
Language:	eng

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