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On immersions and Dyer-Lashof operations

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Aguilar, Marcelo Alberto (1984) On immersions and Dyer-Lashof operations. PhD thesis, University of Warwick.

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Official URL: http://webcat.warwick.ac.uk/record=b1464740~S1

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Abstract

We study the bordism algebra of immersions of closed smooth manifolds in closed smooth manifolds. We give two sets of polynomial generators. We obtain a splitting in terms of bordism groups of vector bundles with structural group ∑r∫0(k) and a splitting in terms of bordism of covering spaces and vector bundles. We study the problem of reducing, modulo bordism, the structural group ∑r∫0(k) to the subgroup ZZr∫0(k) by calculating some characteristic numbers.

Item Type: Thesis (PhD)
Subjects: Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH): Immersions (Mathematics), Manifolds (Mathematics), Vector bundles
Official Date: 1984
Dates:
DateEvent
1984UNSPECIFIED
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Publication Status: Unpublished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
Extent: vii, 125 leaves
Language: eng

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