Stable extendibility of normal bundles over lens spaces
Topology and its Applications Volume 157 Issue 15
Page 2435-2445
published_at 2010-09-15
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| File | |
| Title ( eng ) |
Stable extendibility of normal bundles over lens spaces
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| Creator | |
| Source Title |
Topology and its Applications
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| Volume | 157 |
| Issue | 15 |
| Start Page | 2435 |
| End Page | 2445 |
| Abstract |
We study the stable extendibility of R-vector bundles over the (2n + 1)-dimensional standard lens space L (p) wills odd prime p, focusing on the normal bundle v(n)(t)(p) to an immersion of L-n (p) in the Euclidean space R2n+1+1 We show several concrete cases in which v(p) is stably extendible to L-k(p) for any k with k >= n. and in several cases we determine the exact value in for which i)(p) is stably extendible to Un (p) but not stably extendible to Lm+1 (p). (C) 2010 Elsevier BV All rights reserved
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| Keywords |
Extendible vector bundle
Normal bundle
Lens space
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| NDC |
Mathematics [ 410 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
Elsevier Science BV
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| Date of Issued | 2010-09-15 |
| Rights |
Copyright (c) 2010 Elsevier B.V.
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| Publish Type | Author’s Original |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0166-8641
[DOI] 10.1016/j.topol.2010.07.031
[NCID] AA00459572
[DOI] http://dx.doi.org/10.1016/j.topol.2010.07.031
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