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Bundle complexes and bordism of immersions
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Pastor, Jose Guillermo (1982) Bundle complexes and bordism of immersions. PhD thesis, University of Warwick.
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WRAP_Theses_Pastor_1982.pdf - Submitted Version - Requires a PDF viewer. Download (3900Kb) | Preview |
Official URL: http://webcat.warwick.ac.uk/record=b3253747~S15
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) | ||||
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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: |
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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Publication Status: | Unpublished | ||||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: | |||||
Extent: | 110 leaves : illustrations | ||||
Language: | eng |
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