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Minimal handle decomposition of smooth simply connected five-dimensional manifolds

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Abstract

A theorem on the existence of the unique minimal topologic handle decomposition of differentiable simply connected five-dimensional manifolds is proved. For a decomposition of this sort, the number of handles of each index is given.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 12, pp. 1714–1720, December, 1994.

This research was partially supported by the International Scientific Foundation, grant No. V6F000.

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Prishlyak, A.O. Minimal handle decomposition of smooth simply connected five-dimensional manifolds. Ukr Math J 46, 1907–1913 (1994). https://doi.org/10.1007/BF01063175

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  • DOI: https://doi.org/10.1007/BF01063175

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