In this paper we consider various types of relative groups which naturally arise in surgery theory, and describe algebraic properties of them. Then we apply the obtained results to investigate the splitting obstruction groups LS* and the surgery obstruction groups LP* for a manifold pair. Finally, we introduce the lower LS*- and LP*-groups, and describe connections between them and the corresponding lower L-*-groups and surgery exact sequence.

Relative groups in surgery theory / Cavicchioli, Alberto; Yv, Muranov; Spaggiari, Fulvia. - In: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY SIMON STEVIN. - ISSN 1370-1444. - STAMPA. - 12:(2005), pp. 109-135.

Relative groups in surgery theory

CAVICCHIOLI, Alberto;SPAGGIARI, Fulvia
2005

Abstract

In this paper we consider various types of relative groups which naturally arise in surgery theory, and describe algebraic properties of them. Then we apply the obtained results to investigate the splitting obstruction groups LS* and the surgery obstruction groups LP* for a manifold pair. Finally, we introduce the lower LS*- and LP*-groups, and describe connections between them and the corresponding lower L-*-groups and surgery exact sequence.
12
109
135
Relative groups in surgery theory / Cavicchioli, Alberto; Yv, Muranov; Spaggiari, Fulvia. - In: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY SIMON STEVIN. - ISSN 1370-1444. - STAMPA. - 12:(2005), pp. 109-135.
Cavicchioli, Alberto; Yv, Muranov; Spaggiari, Fulvia
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/307543
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