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On realization of splitting obstructions in Browder-Livesay groups for closed manifold pairs

Published online by Cambridge University Press:  20 January 2009

P. M. Akhmetiev ,
A. Cavicchioli  and
D. Repovš
P. M. Akhmetiev
Affiliation:
Izmiran, 142092 Troitsk, Moscow Region, Russia ([email protected])
A. Cavicchioli
Affiliation:
Dipartimento di Matematica, Università degli studi di Modena, Via Campi 213/B, 41100 Modena, Italy ([email protected])
D. Repovš
Affiliation:
Institute of Mathematics, Physics and Mechanics, University of Ljubljana, 1001 Ljubljana, POB 2964, Slovenia ([email protected])
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Abstract

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We consider some new types of realization problem for obstructions in the Browder-Livesay groups by homotopy equivalences of closed manifold pairs. We give several examples of calculations. We also consider relations with classical surgery problems.

Keywords

K-theoryBrowder-Livesay groupssplitting obstruction
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 43 , Issue 1 , February 2000 , pp. 15 - 25
Copyright
Copyright © Edinburgh Mathematical Society 2000

References

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