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| Publication Status: | Unpublished | ||||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