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The tangential end fibration of an aspherical Poincare complex
- Authors
- Byun, Yanghyun
- Issue Date
- Sep-2007
- Publisher
- Pergamon Press Ltd.
- Keywords
- aspherical poincare complex; end space; tangent fibration
- Citation
- Topology, v.46, no.5, pp 507 - 525
- Pages
- 19
- Indexed
- SCIE
SCOPUS
- Journal Title
- Topology
- Volume
- 46
- Number
- 5
- Start Page
- 507
- End Page
- 525
- ISSN
- 0040-9383
- Abstract
- We construct a sphere fibration over a finite aspherical Poincare complex X, which we call the tangential end fibration, under the condition that the universal cover of X is forward tame and simply connected at infinity. We show that it is tangent to X if the formal dimension of X is even or, when the formal dimension is odd, if the diagonal X -> X x X admits a Poincare embedding structure. (C) 2007 Elsevier Ltd. All rights reserved.
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Related Researcher
- Byun, Yang hyun
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)