Stably extendible tangent bundles over lens spaces
Topology and its Applications Volume 154 Issue 18
Page 3145-3155
published_at 2007-10-15
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| File | |
| Title ( eng ) |
Stably extendible tangent bundles over lens spaces
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| Creator |
Hironori Yamasaki
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| Source Title |
Topology and its Applications
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| Volume | 154 |
| Issue | 18 |
| Start Page | 3145 |
| End Page | 3155 |
| Abstract |
The purpose of this paper is to study the stable extendibility of the tangent bundle τn(p) over the (2n + 1)-dimensional standard lens space Ln(p) for odd prime p. We investigate for which m the tangent bundle τn(p) is stably extendible to Lm(p) but is not stably extendible to Lm+1(p), where we consider m = ∞ if τn(p) is stably extendible to Lk(p) for any k ≥ n, and determine m in the case n ≥ p - 3.
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| Keywords |
Stably extendible
Tangent bundle
Lens space
KO-theory
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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 | 2007-10-15 |
| Rights |
Copyright (c) 2007 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.2007.08.007
[NCID] AA00459572
[DOI] http://dx.doi.org/10.1016/j.topol.2007.08.007
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