2017
Том 69
№ 7

All Issues

Handle decompositions of simply connected five-manifolds. III

Shkol’nikov Yu. A.

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Abstract

We prove the existence of exact handle decomposition of a simply connected smooth or piecewise linear (PL) five-manifold with a standard simply connected boundary of signature zero, the triviality of a five-dimensionalh-cobordism with ends of such type, and the uniqueness up to diffeomorphism (PL-isomorphism) of a smooth (PL)h-cobordism between a given simply connected four-manifold and the corresponding standard manifold.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 7, pp 1025-1030.

Citation Example: Shkol’nikov Yu. A. Handle decompositions of simply connected five-manifolds. III // Ukr. Mat. Zh. - 1994. - 46, № 7. - pp. 935–940.

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